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Finding the Third Proportional to 72,332 and 108,072

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Solution

The third proportional to 72,332 and 108,072 is: 161,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,332 : 108,072 = 108,072 : x
  2. Step 2: Convert to fraction form
    72,332/108,072 = 108,072/x
  3. Step 3: Cross multiply
    72,332x = 108,072 × 108,072
  4. Step 4: Simplify right side
    72,332x = 11,679,557,184
  5. Step 5: Solve for x
    x = 11,679,557,184/72,332
  6. Step 6: Final answer
    x = 161,471.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.