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Finding the Third Proportional to 115,578 and 156,731

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Solution

The third proportional to 115,578 and 156,731 is: 212,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,578 : 156,731 = 156,731 : x
  2. Step 2: Convert to fraction form
    115,578/156,731 = 156,731/x
  3. Step 3: Cross multiply
    115,578x = 156,731 × 156,731
  4. Step 4: Simplify right side
    115,578x = 24,564,606,361
  5. Step 5: Solve for x
    x = 24,564,606,361/115,578
  6. Step 6: Final answer
    x = 212,537.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.