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Finding the Third Proportional to 52,536 and 112,503

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Solution

The third proportional to 52,536 and 112,503 is: 240,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536 : 112,503 = 112,503 : x
  2. Step 2: Convert to fraction form
    52,536/112,503 = 112,503/x
  3. Step 3: Cross multiply
    52,536x = 112,503 × 112,503
  4. Step 4: Simplify right side
    52,536x = 12,656,925,009
  5. Step 5: Solve for x
    x = 12,656,925,009/52,536
  6. Step 6: Final answer
    x = 240,919.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.