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Finding the Third Proportional to 71,226 and 152,334

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Solution

The third proportional to 71,226 and 152,334 is: 325,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226 : 152,334 = 152,334 : x
  2. Step 2: Convert to fraction form
    71,226/152,334 = 152,334/x
  3. Step 3: Cross multiply
    71,226x = 152,334 × 152,334
  4. Step 4: Simplify right side
    71,226x = 23,205,647,556
  5. Step 5: Solve for x
    x = 23,205,647,556/71,226
  6. Step 6: Final answer
    x = 325,803.04

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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.