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Finding the Third Proportional to 48,643 and 100,930

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Solution

The third proportional to 48,643 and 100,930 is: 209,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643 : 100,930 = 100,930 : x
  2. Step 2: Convert to fraction form
    48,643/100,930 = 100,930/x
  3. Step 3: Cross multiply
    48,643x = 100,930 × 100,930
  4. Step 4: Simplify right side
    48,643x = 10,186,864,900
  5. Step 5: Solve for x
    x = 10,186,864,900/48,643
  6. Step 6: Final answer
    x = 209,420.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.