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Finding the Third Proportional to 48,602 and 70,239

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Solution

The third proportional to 48,602 and 70,239 is: 101,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602 : 70,239 = 70,239 : x
  2. Step 2: Convert to fraction form
    48,602/70,239 = 70,239/x
  3. Step 3: Cross multiply
    48,602x = 70,239 × 70,239
  4. Step 4: Simplify right side
    48,602x = 4,933,517,121
  5. Step 5: Solve for x
    x = 4,933,517,121/48,602
  6. Step 6: Final answer
    x = 101,508.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.