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Finding the Third Proportional to 40,230 and 88,424

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Solution

The third proportional to 40,230 and 88,424 is: 194,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,230 : 88,424 = 88,424 : x
  2. Step 2: Convert to fraction form
    40,230/88,424 = 88,424/x
  3. Step 3: Cross multiply
    40,230x = 88,424 × 88,424
  4. Step 4: Simplify right side
    40,230x = 7,818,803,776
  5. Step 5: Solve for x
    x = 7,818,803,776/40,230
  6. Step 6: Final answer
    x = 194,352.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.