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Finding the Third Proportional to 48,172 and 70,800

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Solution

The third proportional to 48,172 and 70,800 is: 104,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,172 : 70,800 = 70,800 : x
  2. Step 2: Convert to fraction form
    48,172/70,800 = 70,800/x
  3. Step 3: Cross multiply
    48,172x = 70,800 × 70,800
  4. Step 4: Simplify right side
    48,172x = 5,012,640,000
  5. Step 5: Solve for x
    x = 5,012,640,000/48,172
  6. Step 6: Final answer
    x = 104,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.