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Finding the Third Proportional to 56,813 and 88,212

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Solution

The third proportional to 56,813 and 88,212 is: 136,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813 : 88,212 = 88,212 : x
  2. Step 2: Convert to fraction form
    56,813/88,212 = 88,212/x
  3. Step 3: Cross multiply
    56,813x = 88,212 × 88,212
  4. Step 4: Simplify right side
    56,813x = 7,781,356,944
  5. Step 5: Solve for x
    x = 7,781,356,944/56,813
  6. Step 6: Final answer
    x = 136,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.