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Finding the Third Proportional to 65,656.13 and 101,859.19

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Solution

The third proportional to 65,656.13 and 101,859.19 is: 158,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656.13 : 101,859.19 = 101,859.19 : x
  2. Step 2: Convert to fraction form
    65,656.13/101,859.19 = 101,859.19/x
  3. Step 3: Cross multiply
    65,656.13x = 101,859.19 × 101,859.19
  4. Step 4: Simplify right side
    65,656.13x = 10,375,294,078.16
  5. Step 5: Solve for x
    x = 10,375,294,078.16/65,656.13
  6. Step 6: Final answer
    x = 158,024.77

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