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Finding the Third Proportional to 71,233 and 152,348

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Solution

The third proportional to 71,233 and 152,348 is: 325,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,233 : 152,348 = 152,348 : x
  2. Step 2: Convert to fraction form
    71,233/152,348 = 152,348/x
  3. Step 3: Cross multiply
    71,233x = 152,348 × 152,348
  4. Step 4: Simplify right side
    71,233x = 23,209,913,104
  5. Step 5: Solve for x
    x = 23,209,913,104/71,233
  6. Step 6: Final answer
    x = 325,830.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.