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Finding the Third Proportional to 74,496 and 95,649

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Solution

The third proportional to 74,496 and 95,649 is: 122,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496 : 95,649 = 95,649 : x
  2. Step 2: Convert to fraction form
    74,496/95,649 = 95,649/x
  3. Step 3: Cross multiply
    74,496x = 95,649 × 95,649
  4. Step 4: Simplify right side
    74,496x = 9,148,731,201
  5. Step 5: Solve for x
    x = 9,148,731,201/74,496
  6. Step 6: Final answer
    x = 122,808.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.