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Finding the Third Proportional to 52,552 and 112,880

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Solution

The third proportional to 52,552 and 112,880 is: 242,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,552 : 112,880 = 112,880 : x
  2. Step 2: Convert to fraction form
    52,552/112,880 = 112,880/x
  3. Step 3: Cross multiply
    52,552x = 112,880 × 112,880
  4. Step 4: Simplify right side
    52,552x = 12,741,894,400
  5. Step 5: Solve for x
    x = 12,741,894,400/52,552
  6. Step 6: Final answer
    x = 242,462.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.