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Finding the Third Proportional to 65,702.25 and 101,617.88

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Solution

The third proportional to 65,702.25 and 101,617.88 is: 157,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.25 : 101,617.88 = 101,617.88 : x
  2. Step 2: Convert to fraction form
    65,702.25/101,617.88 = 101,617.88/x
  3. Step 3: Cross multiply
    65,702.25x = 101,617.88 × 101,617.88
  4. Step 4: Simplify right side
    65,702.25x = 10,326,192,519.52
  5. Step 5: Solve for x
    x = 10,326,192,519.52/65,702.25
  6. Step 6: Final answer
    x = 157,166.50

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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.