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Finding the Third Proportional to 48,838 and 103,674

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Solution

The third proportional to 48,838 and 103,674 is: 220,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838 : 103,674 = 103,674 : x
  2. Step 2: Convert to fraction form
    48,838/103,674 = 103,674/x
  3. Step 3: Cross multiply
    48,838x = 103,674 × 103,674
  4. Step 4: Simplify right side
    48,838x = 10,748,298,276
  5. Step 5: Solve for x
    x = 10,748,298,276/48,838
  6. Step 6: Final answer
    x = 220,080.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.