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Finding the Third Proportional to 55,892.81 and 83,079.56

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Solution

The third proportional to 55,892.81 and 83,079.56 is: 123,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.81 : 83,079.56 = 83,079.56 : x
  2. Step 2: Convert to fraction form
    55,892.81/83,079.56 = 83,079.56/x
  3. Step 3: Cross multiply
    55,892.81x = 83,079.56 × 83,079.56
  4. Step 4: Simplify right side
    55,892.81x = 6,902,213,705.19
  5. Step 5: Solve for x
    x = 6,902,213,705.19/55,892.81
  6. Step 6: Final answer
    x = 123,490.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.