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Finding the Third Proportional to 52,266.50 and 112,916

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Solution

The third proportional to 52,266.50 and 112,916 is: 243,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,266.50 : 112,916 = 112,916 : x
  2. Step 2: Convert to fraction form
    52,266.50/112,916 = 112,916/x
  3. Step 3: Cross multiply
    52,266.50x = 112,916 × 112,916
  4. Step 4: Simplify right side
    52,266.50x = 12,750,023,056
  5. Step 5: Solve for x
    x = 12,750,023,056/52,266.50
  6. Step 6: Final answer
    x = 243,942.55

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Why These Related Problems?

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