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Finding the Third Proportional to 73,564 and 157,496

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Solution

The third proportional to 73,564 and 157,496 is: 337,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564 : 157,496 = 157,496 : x
  2. Step 2: Convert to fraction form
    73,564/157,496 = 157,496/x
  3. Step 3: Cross multiply
    73,564x = 157,496 × 157,496
  4. Step 4: Simplify right side
    73,564x = 24,804,990,016
  5. Step 5: Solve for x
    x = 24,804,990,016/73,564
  6. Step 6: Final answer
    x = 337,189.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.