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Finding the Third Proportional to 55,479 and 90,582

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Solution

The third proportional to 55,479 and 90,582 is: 147,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,479 : 90,582 = 90,582 : x
  2. Step 2: Convert to fraction form
    55,479/90,582 = 90,582/x
  3. Step 3: Cross multiply
    55,479x = 90,582 × 90,582
  4. Step 4: Simplify right side
    55,479x = 8,205,098,724
  5. Step 5: Solve for x
    x = 8,205,098,724/55,479
  6. Step 6: Final answer
    x = 147,895.58

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.