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Finding the Third Proportional to 48,988 and 105,748

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Solution

The third proportional to 48,988 and 105,748 is: 228,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,988 : 105,748 = 105,748 : x
  2. Step 2: Convert to fraction form
    48,988/105,748 = 105,748/x
  3. Step 3: Cross multiply
    48,988x = 105,748 × 105,748
  4. Step 4: Simplify right side
    48,988x = 11,182,639,504
  5. Step 5: Solve for x
    x = 11,182,639,504/48,988
  6. Step 6: Final answer
    x = 228,273.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.