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Finding the Third Proportional to 84,298.22 and 125,167.78

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Solution

The third proportional to 84,298.22 and 125,167.78 is: 185,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,298.22 : 125,167.78 = 125,167.78 : x
  2. Step 2: Convert to fraction form
    84,298.22/125,167.78 = 125,167.78/x
  3. Step 3: Cross multiply
    84,298.22x = 125,167.78 × 125,167.78
  4. Step 4: Simplify right side
    84,298.22x = 15,666,973,463.05
  5. Step 5: Solve for x
    x = 15,666,973,463.05/84,298.22
  6. Step 6: Final answer
    x = 185,851.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.