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Finding the Third Proportional to 75,247 and 112,502

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Solution

The third proportional to 75,247 and 112,502 is: 168,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,247 : 112,502 = 112,502 : x
  2. Step 2: Convert to fraction form
    75,247/112,502 = 112,502/x
  3. Step 3: Cross multiply
    75,247x = 112,502 × 112,502
  4. Step 4: Simplify right side
    75,247x = 12,656,700,004
  5. Step 5: Solve for x
    x = 12,656,700,004/75,247
  6. Step 6: Final answer
    x = 168,202.05

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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.