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Finding the Third Proportional to 60,262 and 86,089

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Solution

The third proportional to 60,262 and 86,089 is: 122,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,262 : 86,089 = 86,089 : x
  2. Step 2: Convert to fraction form
    60,262/86,089 = 86,089/x
  3. Step 3: Cross multiply
    60,262x = 86,089 × 86,089
  4. Step 4: Simplify right side
    60,262x = 7,411,315,921
  5. Step 5: Solve for x
    x = 7,411,315,921/60,262
  6. Step 6: Final answer
    x = 122,984.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.