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Finding the Third Proportional to 75,330 and 113,157

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Solution

The third proportional to 75,330 and 113,157 is: 169,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 113,157 = 113,157 : x
  2. Step 2: Convert to fraction form
    75,330/113,157 = 113,157/x
  3. Step 3: Cross multiply
    75,330x = 113,157 × 113,157
  4. Step 4: Simplify right side
    75,330x = 12,804,506,649
  5. Step 5: Solve for x
    x = 12,804,506,649/75,330
  6. Step 6: Final answer
    x = 169,978.85

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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.