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Finding the Third Proportional to 65,554 and 98,294

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Solution

The third proportional to 65,554 and 98,294 is: 147,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,554 : 98,294 = 98,294 : x
  2. Step 2: Convert to fraction form
    65,554/98,294 = 98,294/x
  3. Step 3: Cross multiply
    65,554x = 98,294 × 98,294
  4. Step 4: Simplify right side
    65,554x = 9,661,710,436
  5. Step 5: Solve for x
    x = 9,661,710,436/65,554
  6. Step 6: Final answer
    x = 147,385.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.