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Finding the Third Proportional to 63,147 and 97,535

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Solution

The third proportional to 63,147 and 97,535 is: 150,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,147 : 97,535 = 97,535 : x
  2. Step 2: Convert to fraction form
    63,147/97,535 = 97,535/x
  3. Step 3: Cross multiply
    63,147x = 97,535 × 97,535
  4. Step 4: Simplify right side
    63,147x = 9,513,076,225
  5. Step 5: Solve for x
    x = 9,513,076,225/63,147
  6. Step 6: Final answer
    x = 150,649.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.