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Finding the Third Proportional to 56,250.70 and 82,154.88

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Solution

The third proportional to 56,250.70 and 82,154.88 is: 119,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,250.70 : 82,154.88 = 82,154.88 : x
  2. Step 2: Convert to fraction form
    56,250.70/82,154.88 = 82,154.88/x
  3. Step 3: Cross multiply
    56,250.70x = 82,154.88 × 82,154.88
  4. Step 4: Simplify right side
    56,250.70x = 6,749,424,769.94
  5. Step 5: Solve for x
    x = 6,749,424,769.94/56,250.70
  6. Step 6: Final answer
    x = 119,988.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.