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Finding the Third Proportional to 56,534.25 and 83,115.75

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Solution

The third proportional to 56,534.25 and 83,115.75 is: 122,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,534.25 : 83,115.75 = 83,115.75 : x
  2. Step 2: Convert to fraction form
    56,534.25/83,115.75 = 83,115.75/x
  3. Step 3: Cross multiply
    56,534.25x = 83,115.75 × 83,115.75
  4. Step 4: Simplify right side
    56,534.25x = 6,908,227,898.06
  5. Step 5: Solve for x
    x = 6,908,227,898.06/56,534.25
  6. Step 6: Final answer
    x = 122,195.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.