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Finding the Third Proportional to 59,980 and 85,443

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Solution

The third proportional to 59,980 and 85,443 is: 121,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,980 : 85,443 = 85,443 : x
  2. Step 2: Convert to fraction form
    59,980/85,443 = 85,443/x
  3. Step 3: Cross multiply
    59,980x = 85,443 × 85,443
  4. Step 4: Simplify right side
    59,980x = 7,300,506,249
  5. Step 5: Solve for x
    x = 7,300,506,249/59,980
  6. Step 6: Final answer
    x = 121,715.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.