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Finding the Third Proportional to 72,331 and 104,473

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Solution

The third proportional to 72,331 and 104,473 is: 150,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,331 : 104,473 = 104,473 : x
  2. Step 2: Convert to fraction form
    72,331/104,473 = 104,473/x
  3. Step 3: Cross multiply
    72,331x = 104,473 × 104,473
  4. Step 4: Simplify right side
    72,331x = 10,914,607,729
  5. Step 5: Solve for x
    x = 10,914,607,729/72,331
  6. Step 6: Final answer
    x = 150,898.06

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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.