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Finding the Third Proportional to 64,484 and 95,496

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Solution

The third proportional to 64,484 and 95,496 is: 141,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,484 : 95,496 = 95,496 : x
  2. Step 2: Convert to fraction form
    64,484/95,496 = 95,496/x
  3. Step 3: Cross multiply
    64,484x = 95,496 × 95,496
  4. Step 4: Simplify right side
    64,484x = 9,119,486,016
  5. Step 5: Solve for x
    x = 9,119,486,016/64,484
  6. Step 6: Final answer
    x = 141,422.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.