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Finding the Third Proportional to 64,146 and 95,535

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Solution

The third proportional to 64,146 and 95,535 is: 142,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,146 : 95,535 = 95,535 : x
  2. Step 2: Convert to fraction form
    64,146/95,535 = 95,535/x
  3. Step 3: Cross multiply
    64,146x = 95,535 × 95,535
  4. Step 4: Simplify right side
    64,146x = 9,126,936,225
  5. Step 5: Solve for x
    x = 9,126,936,225/64,146
  6. Step 6: Final answer
    x = 142,283.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.