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Finding the Third Proportional to 60,030 and 86,469

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Solution

The third proportional to 60,030 and 86,469 is: 124,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,030 : 86,469 = 86,469 : x
  2. Step 2: Convert to fraction form
    60,030/86,469 = 86,469/x
  3. Step 3: Cross multiply
    60,030x = 86,469 × 86,469
  4. Step 4: Simplify right side
    60,030x = 7,476,887,961
  5. Step 5: Solve for x
    x = 7,476,887,961/60,030
  6. Step 6: Final answer
    x = 124,552.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.