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Finding the Third Proportional to 81,445.50 and 124,527.38

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Solution

The third proportional to 81,445.50 and 124,527.38 is: 190,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,445.50 : 124,527.38 = 124,527.38 : x
  2. Step 2: Convert to fraction form
    81,445.50/124,527.38 = 124,527.38/x
  3. Step 3: Cross multiply
    81,445.50x = 124,527.38 × 124,527.38
  4. Step 4: Simplify right side
    81,445.50x = 15,507,067,124.39
  5. Step 5: Solve for x
    x = 15,507,067,124.39/81,445.50
  6. Step 6: Final answer
    x = 190,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.