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Finding the Third Proportional to 97,294 and 158,853

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Solution

The third proportional to 97,294 and 158,853 is: 259,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294 : 158,853 = 158,853 : x
  2. Step 2: Convert to fraction form
    97,294/158,853 = 158,853/x
  3. Step 3: Cross multiply
    97,294x = 158,853 × 158,853
  4. Step 4: Simplify right side
    97,294x = 25,234,275,609
  5. Step 5: Solve for x
    x = 25,234,275,609/97,294
  6. Step 6: Final answer
    x = 259,361.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.