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Finding the Third Proportional to 56,198.81 and 83,445.19

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Solution

The third proportional to 56,198.81 and 83,445.19 is: 123,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,198.81 : 83,445.19 = 83,445.19 : x
  2. Step 2: Convert to fraction form
    56,198.81/83,445.19 = 83,445.19/x
  3. Step 3: Cross multiply
    56,198.81x = 83,445.19 × 83,445.19
  4. Step 4: Simplify right side
    56,198.81x = 6,963,099,316.91
  5. Step 5: Solve for x
    x = 6,963,099,316.91/56,198.81
  6. Step 6: Final answer
    x = 123,901.18

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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.