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Finding the Third Proportional to 73,658 and 157,636

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Solution

The third proportional to 73,658 and 157,636 is: 337,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,658 : 157,636 = 157,636 : x
  2. Step 2: Convert to fraction form
    73,658/157,636 = 157,636/x
  3. Step 3: Cross multiply
    73,658x = 157,636 × 157,636
  4. Step 4: Simplify right side
    73,658x = 24,849,108,496
  5. Step 5: Solve for x
    x = 24,849,108,496/73,658
  6. Step 6: Final answer
    x = 337,357.90

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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.