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Finding the Third Proportional to 43,092 and 63,220

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Solution

The third proportional to 43,092 and 63,220 is: 92,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,092 : 63,220 = 63,220 : x
  2. Step 2: Convert to fraction form
    43,092/63,220 = 63,220/x
  3. Step 3: Cross multiply
    43,092x = 63,220 × 63,220
  4. Step 4: Simplify right side
    43,092x = 3,996,768,400
  5. Step 5: Solve for x
    x = 3,996,768,400/43,092
  6. Step 6: Final answer
    x = 92,749.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.