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Finding the Third Proportional to 65,824.31 and 99,316.13

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Solution

The third proportional to 65,824.31 and 99,316.13 is: 149,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,824.31 : 99,316.13 = 99,316.13 : x
  2. Step 2: Convert to fraction form
    65,824.31/99,316.13 = 99,316.13/x
  3. Step 3: Cross multiply
    65,824.31x = 99,316.13 × 99,316.13
  4. Step 4: Simplify right side
    65,824.31x = 9,863,692,685.02
  5. Step 5: Solve for x
    x = 9,863,692,685.02/65,824.31
  6. Step 6: Final answer
    x = 149,848.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.