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Finding the Third Proportional to 125,634.50 and 273,417

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Solution

The third proportional to 125,634.50 and 273,417 is: 595,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,634.50 : 273,417 = 273,417 : x
  2. Step 2: Convert to fraction form
    125,634.50/273,417 = 273,417/x
  3. Step 3: Cross multiply
    125,634.50x = 273,417 × 273,417
  4. Step 4: Simplify right side
    125,634.50x = 74,756,855,889
  5. Step 5: Solve for x
    x = 74,756,855,889/125,634.50
  6. Step 6: Final answer
    x = 595,034.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.