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Finding the Third Proportional to 59,344 and 161,560

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Solution

The third proportional to 59,344 and 161,560 is: 439,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,344 : 161,560 = 161,560 : x
  2. Step 2: Convert to fraction form
    59,344/161,560 = 161,560/x
  3. Step 3: Cross multiply
    59,344x = 161,560 × 161,560
  4. Step 4: Simplify right side
    59,344x = 26,101,633,600
  5. Step 5: Solve for x
    x = 26,101,633,600/59,344
  6. Step 6: Final answer
    x = 439,836.10

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.