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Finding the Third Proportional to 48,416 and 72,600

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Solution

The third proportional to 48,416 and 72,600 is: 108,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 72,600 = 72,600 : x
  2. Step 2: Convert to fraction form
    48,416/72,600 = 72,600/x
  3. Step 3: Cross multiply
    48,416x = 72,600 × 72,600
  4. Step 4: Simplify right side
    48,416x = 5,270,760,000
  5. Step 5: Solve for x
    x = 5,270,760,000/48,416
  6. Step 6: Final answer
    x = 108,864.01

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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.