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Finding the Third Proportional to 74,524 and 162,332

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Solution

The third proportional to 74,524 and 162,332 is: 353,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524 : 162,332 = 162,332 : x
  2. Step 2: Convert to fraction form
    74,524/162,332 = 162,332/x
  3. Step 3: Cross multiply
    74,524x = 162,332 × 162,332
  4. Step 4: Simplify right side
    74,524x = 26,351,678,224
  5. Step 5: Solve for x
    x = 26,351,678,224/74,524
  6. Step 6: Final answer
    x = 353,599.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.