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Finding the Third Proportional to 52,564 and 113,552

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Solution

The third proportional to 52,564 and 113,552 is: 245,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564 : 113,552 = 113,552 : x
  2. Step 2: Convert to fraction form
    52,564/113,552 = 113,552/x
  3. Step 3: Cross multiply
    52,564x = 113,552 × 113,552
  4. Step 4: Simplify right side
    52,564x = 12,894,056,704
  5. Step 5: Solve for x
    x = 12,894,056,704/52,564
  6. Step 6: Final answer
    x = 245,302.05

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