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Finding the Third Proportional to 53,687 and 121,294

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Solution

The third proportional to 53,687 and 121,294 is: 274,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,687 : 121,294 = 121,294 : x
  2. Step 2: Convert to fraction form
    53,687/121,294 = 121,294/x
  3. Step 3: Cross multiply
    53,687x = 121,294 × 121,294
  4. Step 4: Simplify right side
    53,687x = 14,712,234,436
  5. Step 5: Solve for x
    x = 14,712,234,436/53,687
  6. Step 6: Final answer
    x = 274,037.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.