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Finding the Third Proportional to 75,126 and 112,454

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Solution

The third proportional to 75,126 and 112,454 is: 168,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,126 : 112,454 = 112,454 : x
  2. Step 2: Convert to fraction form
    75,126/112,454 = 112,454/x
  3. Step 3: Cross multiply
    75,126x = 112,454 × 112,454
  4. Step 4: Simplify right side
    75,126x = 12,645,902,116
  5. Step 5: Solve for x
    x = 12,645,902,116/75,126
  6. Step 6: Final answer
    x = 168,329.24

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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.