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Finding the Third Proportional to 124,389 and 292,377

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Solution

The third proportional to 124,389 and 292,377 is: 687,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,389 : 292,377 = 292,377 : x
  2. Step 2: Convert to fraction form
    124,389/292,377 = 292,377/x
  3. Step 3: Cross multiply
    124,389x = 292,377 × 292,377
  4. Step 4: Simplify right side
    124,389x = 85,484,310,129
  5. Step 5: Solve for x
    x = 85,484,310,129/124,389
  6. Step 6: Final answer
    x = 687,233.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.