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Finding the Third Proportional to 66,952 and 103,730

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Solution

The third proportional to 66,952 and 103,730 is: 160,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952 : 103,730 = 103,730 : x
  2. Step 2: Convert to fraction form
    66,952/103,730 = 103,730/x
  3. Step 3: Cross multiply
    66,952x = 103,730 × 103,730
  4. Step 4: Simplify right side
    66,952x = 10,759,912,900
  5. Step 5: Solve for x
    x = 10,759,912,900/66,952
  6. Step 6: Final answer
    x = 160,710.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.