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Finding the Third Proportional to 71,582 and 157,324

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Solution

The third proportional to 71,582 and 157,324 is: 345,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582 : 157,324 = 157,324 : x
  2. Step 2: Convert to fraction form
    71,582/157,324 = 157,324/x
  3. Step 3: Cross multiply
    71,582x = 157,324 × 157,324
  4. Step 4: Simplify right side
    71,582x = 24,750,840,976
  5. Step 5: Solve for x
    x = 24,750,840,976/71,582
  6. Step 6: Final answer
    x = 345,769.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.