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Finding the Third Proportional to 65,707.88 and 99,860.34

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Solution

The third proportional to 65,707.88 and 99,860.34 is: 151,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707.88 : 99,860.34 = 99,860.34 : x
  2. Step 2: Convert to fraction form
    65,707.88/99,860.34 = 99,860.34/x
  3. Step 3: Cross multiply
    65,707.88x = 99,860.34 × 99,860.34
  4. Step 4: Simplify right side
    65,707.88x = 9,972,088,253.87
  5. Step 5: Solve for x
    x = 9,972,088,253.87/65,707.88
  6. Step 6: Final answer
    x = 151,763.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.