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Finding the Third Proportional to 125,681 and 273,178

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Solution

The third proportional to 125,681 and 273,178 is: 593,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,681 : 273,178 = 273,178 : x
  2. Step 2: Convert to fraction form
    125,681/273,178 = 273,178/x
  3. Step 3: Cross multiply
    125,681x = 273,178 × 273,178
  4. Step 4: Simplify right side
    125,681x = 74,626,219,684
  5. Step 5: Solve for x
    x = 74,626,219,684/125,681
  6. Step 6: Final answer
    x = 593,774.87

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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.