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Finding the Third Proportional to 56,912 and 83,180

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Solution

The third proportional to 56,912 and 83,180 is: 121,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 83,180 = 83,180 : x
  2. Step 2: Convert to fraction form
    56,912/83,180 = 83,180/x
  3. Step 3: Cross multiply
    56,912x = 83,180 × 83,180
  4. Step 4: Simplify right side
    56,912x = 6,918,912,400
  5. Step 5: Solve for x
    x = 6,918,912,400/56,912
  6. Step 6: Final answer
    x = 121,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.