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Finding the Third Proportional to 75,087 and 112,407

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Solution

The third proportional to 75,087 and 112,407 is: 168,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087 : 112,407 = 112,407 : x
  2. Step 2: Convert to fraction form
    75,087/112,407 = 112,407/x
  3. Step 3: Cross multiply
    75,087x = 112,407 × 112,407
  4. Step 4: Simplify right side
    75,087x = 12,635,333,649
  5. Step 5: Solve for x
    x = 12,635,333,649/75,087
  6. Step 6: Final answer
    x = 168,275.92

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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.