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Finding the Third Proportional to 75,496 and 154,272

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Solution

The third proportional to 75,496 and 154,272 is: 315,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496 : 154,272 = 154,272 : x
  2. Step 2: Convert to fraction form
    75,496/154,272 = 154,272/x
  3. Step 3: Cross multiply
    75,496x = 154,272 × 154,272
  4. Step 4: Simplify right side
    75,496x = 23,799,849,984
  5. Step 5: Solve for x
    x = 23,799,849,984/75,496
  6. Step 6: Final answer
    x = 315,246.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.