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Finding the Third Proportional to 48,899 and 101,470

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Solution

The third proportional to 48,899 and 101,470 is: 210,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899 : 101,470 = 101,470 : x
  2. Step 2: Convert to fraction form
    48,899/101,470 = 101,470/x
  3. Step 3: Cross multiply
    48,899x = 101,470 × 101,470
  4. Step 4: Simplify right side
    48,899x = 10,296,160,900
  5. Step 5: Solve for x
    x = 10,296,160,900/48,899
  6. Step 6: Final answer
    x = 210,559.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.