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Finding the Third Proportional to 59,066 and 85,287

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Solution

The third proportional to 59,066 and 85,287 is: 123,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,066 : 85,287 = 85,287 : x
  2. Step 2: Convert to fraction form
    59,066/85,287 = 85,287/x
  3. Step 3: Cross multiply
    59,066x = 85,287 × 85,287
  4. Step 4: Simplify right side
    59,066x = 7,273,872,369
  5. Step 5: Solve for x
    x = 7,273,872,369/59,066
  6. Step 6: Final answer
    x = 123,148.21

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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.