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Finding the Third Proportional to 112,971.38 and 165,127.78

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Solution

The third proportional to 112,971.38 and 165,127.78 is: 241,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971.38 : 165,127.78 = 165,127.78 : x
  2. Step 2: Convert to fraction form
    112,971.38/165,127.78 = 165,127.78/x
  3. Step 3: Cross multiply
    112,971.38x = 165,127.78 × 165,127.78
  4. Step 4: Simplify right side
    112,971.38x = 27,267,184,140.55
  5. Step 5: Solve for x
    x = 27,267,184,140.55/112,971.38
  6. Step 6: Final answer
    x = 241,363.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.