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Finding the Third Proportional to 72,554 and 159,364

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Solution

The third proportional to 72,554 and 159,364 is: 350,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,554 : 159,364 = 159,364 : x
  2. Step 2: Convert to fraction form
    72,554/159,364 = 159,364/x
  3. Step 3: Cross multiply
    72,554x = 159,364 × 159,364
  4. Step 4: Simplify right side
    72,554x = 25,396,884,496
  5. Step 5: Solve for x
    x = 25,396,884,496/72,554
  6. Step 6: Final answer
    x = 350,041.13

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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.