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Finding the Third Proportional to 52,886.25 and 110,146.50

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Solution

The third proportional to 52,886.25 and 110,146.50 is: 229,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.25 : 110,146.50 = 110,146.50 : x
  2. Step 2: Convert to fraction form
    52,886.25/110,146.50 = 110,146.50/x
  3. Step 3: Cross multiply
    52,886.25x = 110,146.50 × 110,146.50
  4. Step 4: Simplify right side
    52,886.25x = 12,132,251,462.25
  5. Step 5: Solve for x
    x = 12,132,251,462.25/52,886.25
  6. Step 6: Final answer
    x = 229,402.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.