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Finding the Third Proportional to 88,282.50 and 113,353.13

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Solution

The third proportional to 88,282.50 and 113,353.13 is: 145,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,282.50 : 113,353.13 = 113,353.13 : x
  2. Step 2: Convert to fraction form
    88,282.50/113,353.13 = 113,353.13/x
  3. Step 3: Cross multiply
    88,282.50x = 113,353.13 × 113,353.13
  4. Step 4: Simplify right side
    88,282.50x = 12,848,930,947.27
  5. Step 5: Solve for x
    x = 12,848,930,947.27/88,282.50
  6. Step 6: Final answer
    x = 145,543.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.