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Finding the Third Proportional to 48,216 and 74,508

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Solution

The third proportional to 48,216 and 74,508 is: 115,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,216 : 74,508 = 74,508 : x
  2. Step 2: Convert to fraction form
    48,216/74,508 = 74,508/x
  3. Step 3: Cross multiply
    48,216x = 74,508 × 74,508
  4. Step 4: Simplify right side
    48,216x = 5,551,442,064
  5. Step 5: Solve for x
    x = 5,551,442,064/48,216
  6. Step 6: Final answer
    x = 115,136.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.