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Finding the Third Proportional to 52,988 and 110,284

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Solution

The third proportional to 52,988 and 110,284 is: 229,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,988 : 110,284 = 110,284 : x
  2. Step 2: Convert to fraction form
    52,988/110,284 = 110,284/x
  3. Step 3: Cross multiply
    52,988x = 110,284 × 110,284
  4. Step 4: Simplify right side
    52,988x = 12,162,560,656
  5. Step 5: Solve for x
    x = 12,162,560,656/52,988
  6. Step 6: Final answer
    x = 229,534.25

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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.