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Finding the Third Proportional to 61,894 and 144,617

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Solution

The third proportional to 61,894 and 144,617 is: 337,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,894 : 144,617 = 144,617 : x
  2. Step 2: Convert to fraction form
    61,894/144,617 = 144,617/x
  3. Step 3: Cross multiply
    61,894x = 144,617 × 144,617
  4. Step 4: Simplify right side
    61,894x = 20,914,076,689
  5. Step 5: Solve for x
    x = 20,914,076,689/61,894
  6. Step 6: Final answer
    x = 337,901.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.