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Finding the Third Proportional to 48,302 and 68,403

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Solution

The third proportional to 48,302 and 68,403 is: 96,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,302 : 68,403 = 68,403 : x
  2. Step 2: Convert to fraction form
    48,302/68,403 = 68,403/x
  3. Step 3: Cross multiply
    48,302x = 68,403 × 68,403
  4. Step 4: Simplify right side
    48,302x = 4,678,970,409
  5. Step 5: Solve for x
    x = 4,678,970,409/48,302
  6. Step 6: Final answer
    x = 96,869.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.