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Finding the Third Proportional to 75,598 and 158,486

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Solution

The third proportional to 75,598 and 158,486 is: 332,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598 : 158,486 = 158,486 : x
  2. Step 2: Convert to fraction form
    75,598/158,486 = 158,486/x
  3. Step 3: Cross multiply
    75,598x = 158,486 × 158,486
  4. Step 4: Simplify right side
    75,598x = 25,117,812,196
  5. Step 5: Solve for x
    x = 25,117,812,196/75,598
  6. Step 6: Final answer
    x = 332,254.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.