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Finding the Third Proportional to 65,331.56 and 97,740.84

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Solution

The third proportional to 65,331.56 and 97,740.84 is: 146,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331.56 : 97,740.84 = 97,740.84 : x
  2. Step 2: Convert to fraction form
    65,331.56/97,740.84 = 97,740.84/x
  3. Step 3: Cross multiply
    65,331.56x = 97,740.84 × 97,740.84
  4. Step 4: Simplify right side
    65,331.56x = 9,553,272,536.96
  5. Step 5: Solve for x
    x = 9,553,272,536.96/65,331.56
  6. Step 6: Final answer
    x = 146,227.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.