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Finding the Third Proportional to 65,863.13 and 101,887.88

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Solution

The third proportional to 65,863.13 and 101,887.88 is: 157,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.13 : 101,887.88 = 101,887.88 : x
  2. Step 2: Convert to fraction form
    65,863.13/101,887.88 = 101,887.88/x
  3. Step 3: Cross multiply
    65,863.13x = 101,887.88 × 101,887.88
  4. Step 4: Simplify right side
    65,863.13x = 10,381,139,072.02
  5. Step 5: Solve for x
    x = 10,381,139,072.02/65,863.13
  6. Step 6: Final answer
    x = 157,616.86

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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.