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Finding the Third Proportional to 52,146 and 113,850

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Solution

The third proportional to 52,146 and 113,850 is: 248,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146 : 113,850 = 113,850 : x
  2. Step 2: Convert to fraction form
    52,146/113,850 = 113,850/x
  3. Step 3: Cross multiply
    52,146x = 113,850 × 113,850
  4. Step 4: Simplify right side
    52,146x = 12,961,822,500
  5. Step 5: Solve for x
    x = 12,961,822,500/52,146
  6. Step 6: Final answer
    x = 248,567.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.