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Finding the Third Proportional to 82,886.06 and 124,812.56

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Solution

The third proportional to 82,886.06 and 124,812.56 is: 187,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.06 : 124,812.56 = 124,812.56 : x
  2. Step 2: Convert to fraction form
    82,886.06/124,812.56 = 124,812.56/x
  3. Step 3: Cross multiply
    82,886.06x = 124,812.56 × 124,812.56
  4. Step 4: Simplify right side
    82,886.06x = 15,578,175,757.82
  5. Step 5: Solve for x
    x = 15,578,175,757.82/82,886.06
  6. Step 6: Final answer
    x = 187,946.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.