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Finding the Third Proportional to 48,700 and 75,200

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Solution

The third proportional to 48,700 and 75,200 is: 116,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700 : 75,200 = 75,200 : x
  2. Step 2: Convert to fraction form
    48,700/75,200 = 75,200/x
  3. Step 3: Cross multiply
    48,700x = 75,200 × 75,200
  4. Step 4: Simplify right side
    48,700x = 5,655,040,000
  5. Step 5: Solve for x
    x = 5,655,040,000/48,700
  6. Step 6: Final answer
    x = 116,119.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.