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Finding the Third Proportional to 56,512.69 and 85,497.19

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Solution

The third proportional to 56,512.69 and 85,497.19 is: 129,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,512.69 : 85,497.19 = 85,497.19 : x
  2. Step 2: Convert to fraction form
    56,512.69/85,497.19 = 85,497.19/x
  3. Step 3: Cross multiply
    56,512.69x = 85,497.19 × 85,497.19
  4. Step 4: Simplify right side
    56,512.69x = 7,309,769,070.41
  5. Step 5: Solve for x
    x = 7,309,769,070.41/56,512.69
  6. Step 6: Final answer
    x = 129,347.40

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Why These Related Problems?

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