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Finding the Third Proportional to 75,292.50 and 121,080

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Solution

The third proportional to 75,292.50 and 121,080 is: 194,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,292.50 : 121,080 = 121,080 : x
  2. Step 2: Convert to fraction form
    75,292.50/121,080 = 121,080/x
  3. Step 3: Cross multiply
    75,292.50x = 121,080 × 121,080
  4. Step 4: Simplify right side
    75,292.50x = 14,660,366,400
  5. Step 5: Solve for x
    x = 14,660,366,400/75,292.50
  6. Step 6: Final answer
    x = 194,712.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.