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Finding the Third Proportional to 75,138 and 112,470

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Solution

The third proportional to 75,138 and 112,470 is: 168,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138 : 112,470 = 112,470 : x
  2. Step 2: Convert to fraction form
    75,138/112,470 = 112,470/x
  3. Step 3: Cross multiply
    75,138x = 112,470 × 112,470
  4. Step 4: Simplify right side
    75,138x = 12,649,500,900
  5. Step 5: Solve for x
    x = 12,649,500,900/75,138
  6. Step 6: Final answer
    x = 168,350.25

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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.