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Finding the Third Proportional to 83,972 and 183,352

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Solution

The third proportional to 83,972 and 183,352 is: 400,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,972 : 183,352 = 183,352 : x
  2. Step 2: Convert to fraction form
    83,972/183,352 = 183,352/x
  3. Step 3: Cross multiply
    83,972x = 183,352 × 183,352
  4. Step 4: Simplify right side
    83,972x = 33,617,955,904
  5. Step 5: Solve for x
    x = 33,617,955,904/83,972
  6. Step 6: Final answer
    x = 400,347.21

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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.