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Finding the Third Proportional to 83,030.31 and 132,181.81

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Solution

The third proportional to 83,030.31 and 132,181.81 is: 210,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.31 : 132,181.81 = 132,181.81 : x
  2. Step 2: Convert to fraction form
    83,030.31/132,181.81 = 132,181.81/x
  3. Step 3: Cross multiply
    83,030.31x = 132,181.81 × 132,181.81
  4. Step 4: Simplify right side
    83,030.31x = 17,472,031,555.79
  5. Step 5: Solve for x
    x = 17,472,031,555.79/83,030.31
  6. Step 6: Final answer
    x = 210,429.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.