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Finding the Third Proportional to 57,902.50 and 86,854

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Solution

The third proportional to 57,902.50 and 86,854 is: 130,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.50 : 86,854 = 86,854 : x
  2. Step 2: Convert to fraction form
    57,902.50/86,854 = 86,854/x
  3. Step 3: Cross multiply
    57,902.50x = 86,854 × 86,854
  4. Step 4: Simplify right side
    57,902.50x = 7,543,617,316
  5. Step 5: Solve for x
    x = 7,543,617,316/57,902.50
  6. Step 6: Final answer
    x = 130,281.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.