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Finding the Third Proportional to 52,952 and 110,216

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Solution

The third proportional to 52,952 and 110,216 is: 229,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952 : 110,216 = 110,216 : x
  2. Step 2: Convert to fraction form
    52,952/110,216 = 110,216/x
  3. Step 3: Cross multiply
    52,952x = 110,216 × 110,216
  4. Step 4: Simplify right side
    52,952x = 12,147,566,656
  5. Step 5: Solve for x
    x = 12,147,566,656/52,952
  6. Step 6: Final answer
    x = 229,407.14

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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.