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Finding the Third Proportional to 59,478 and 85,491

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Solution

The third proportional to 59,478 and 85,491 is: 122,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,478 : 85,491 = 85,491 : x
  2. Step 2: Convert to fraction form
    59,478/85,491 = 85,491/x
  3. Step 3: Cross multiply
    59,478x = 85,491 × 85,491
  4. Step 4: Simplify right side
    59,478x = 7,308,711,081
  5. Step 5: Solve for x
    x = 7,308,711,081/59,478
  6. Step 6: Final answer
    x = 122,880.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.