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Finding the Third Proportional to 59,479 and 85,492

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Solution

The third proportional to 59,479 and 85,492 is: 122,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,479 : 85,492 = 85,492 : x
  2. Step 2: Convert to fraction form
    59,479/85,492 = 85,492/x
  3. Step 3: Cross multiply
    59,479x = 85,492 × 85,492
  4. Step 4: Simplify right side
    59,479x = 7,308,882,064
  5. Step 5: Solve for x
    x = 7,308,882,064/59,479
  6. Step 6: Final answer
    x = 122,881.72

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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.