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Finding the Third Proportional to 75,422 and 160,312

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Solution

The third proportional to 75,422 and 160,312 is: 340,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422 : 160,312 = 160,312 : x
  2. Step 2: Convert to fraction form
    75,422/160,312 = 160,312/x
  3. Step 3: Cross multiply
    75,422x = 160,312 × 160,312
  4. Step 4: Simplify right side
    75,422x = 25,699,937,344
  5. Step 5: Solve for x
    x = 25,699,937,344/75,422
  6. Step 6: Final answer
    x = 340,748.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.