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Finding the Third Proportional to 59,496 and 95,658

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Solution

The third proportional to 59,496 and 95,658 is: 153,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,496 : 95,658 = 95,658 : x
  2. Step 2: Convert to fraction form
    59,496/95,658 = 95,658/x
  3. Step 3: Cross multiply
    59,496x = 95,658 × 95,658
  4. Step 4: Simplify right side
    59,496x = 9,150,452,964
  5. Step 5: Solve for x
    x = 9,150,452,964/59,496
  6. Step 6: Final answer
    x = 153,799.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.