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Finding the Third Proportional to 79,125 and 121,040

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Solution

The third proportional to 79,125 and 121,040 is: 185,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,125 : 121,040 = 121,040 : x
  2. Step 2: Convert to fraction form
    79,125/121,040 = 121,040/x
  3. Step 3: Cross multiply
    79,125x = 121,040 × 121,040
  4. Step 4: Simplify right side
    79,125x = 14,650,681,600
  5. Step 5: Solve for x
    x = 14,650,681,600/79,125
  6. Step 6: Final answer
    x = 185,158.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.