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Finding the Third Proportional to 76,042.13 and 110,143.13

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Solution

The third proportional to 76,042.13 and 110,143.13 is: 159,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,042.13 : 110,143.13 = 110,143.13 : x
  2. Step 2: Convert to fraction form
    76,042.13/110,143.13 = 110,143.13/x
  3. Step 3: Cross multiply
    76,042.13x = 110,143.13 × 110,143.13
  4. Step 4: Simplify right side
    76,042.13x = 12,131,507,984.77
  5. Step 5: Solve for x
    x = 12,131,507,984.77/76,042.13
  6. Step 6: Final answer
    x = 159,536.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.