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Finding the Third Proportional to 64,177.50 and 99,765

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Solution

The third proportional to 64,177.50 and 99,765 is: 155,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177.50 : 99,765 = 99,765 : x
  2. Step 2: Convert to fraction form
    64,177.50/99,765 = 99,765/x
  3. Step 3: Cross multiply
    64,177.50x = 99,765 × 99,765
  4. Step 4: Simplify right side
    64,177.50x = 9,953,055,225
  5. Step 5: Solve for x
    x = 9,953,055,225/64,177.50
  6. Step 6: Final answer
    x = 155,086.37

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Why These Related Problems?

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