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Finding the Third Proportional to 65,877.38 and 99,267.75

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Solution

The third proportional to 65,877.38 and 99,267.75 is: 149,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877.38 : 99,267.75 = 99,267.75 : x
  2. Step 2: Convert to fraction form
    65,877.38/99,267.75 = 99,267.75/x
  3. Step 3: Cross multiply
    65,877.38x = 99,267.75 × 99,267.75
  4. Step 4: Simplify right side
    65,877.38x = 9,854,086,190.06
  5. Step 5: Solve for x
    x = 9,854,086,190.06/65,877.38
  6. Step 6: Final answer
    x = 149,582.25

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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.