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Finding the Third Proportional to 56,234 and 83,487

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Solution

The third proportional to 56,234 and 83,487 is: 123,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,234 : 83,487 = 83,487 : x
  2. Step 2: Convert to fraction form
    56,234/83,487 = 83,487/x
  3. Step 3: Cross multiply
    56,234x = 83,487 × 83,487
  4. Step 4: Simplify right side
    56,234x = 6,970,079,169
  5. Step 5: Solve for x
    x = 6,970,079,169/56,234
  6. Step 6: Final answer
    x = 123,947.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.