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Finding the Third Proportional to 63,135 and 95,765

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Solution

The third proportional to 63,135 and 95,765 is: 145,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,135 : 95,765 = 95,765 : x
  2. Step 2: Convert to fraction form
    63,135/95,765 = 95,765/x
  3. Step 3: Cross multiply
    63,135x = 95,765 × 95,765
  4. Step 4: Simplify right side
    63,135x = 9,170,935,225
  5. Step 5: Solve for x
    x = 9,170,935,225/63,135
  6. Step 6: Final answer
    x = 145,259.13

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Why These Related Problems?

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