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Finding the Third Proportional to 48,127 and 70,003

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Solution

The third proportional to 48,127 and 70,003 is: 101,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,127 : 70,003 = 70,003 : x
  2. Step 2: Convert to fraction form
    48,127/70,003 = 70,003/x
  3. Step 3: Cross multiply
    48,127x = 70,003 × 70,003
  4. Step 4: Simplify right side
    48,127x = 4,900,420,009
  5. Step 5: Solve for x
    x = 4,900,420,009/48,127
  6. Step 6: Final answer
    x = 101,822.68

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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.