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Finding the Third Proportional to 125,946.56 and 273,798.56

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Solution

The third proportional to 125,946.56 and 273,798.56 is: 595,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,946.56 : 273,798.56 = 273,798.56 : x
  2. Step 2: Convert to fraction form
    125,946.56/273,798.56 = 273,798.56/x
  3. Step 3: Cross multiply
    125,946.56x = 273,798.56 × 273,798.56
  4. Step 4: Simplify right side
    125,946.56x = 74,965,652,827.07
  5. Step 5: Solve for x
    x = 74,965,652,827.07/125,946.56
  6. Step 6: Final answer
    x = 595,217.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.