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Finding the Third Proportional to 73,294 and 159,755

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Solution

The third proportional to 73,294 and 159,755 is: 348,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294 : 159,755 = 159,755 : x
  2. Step 2: Convert to fraction form
    73,294/159,755 = 159,755/x
  3. Step 3: Cross multiply
    73,294x = 159,755 × 159,755
  4. Step 4: Simplify right side
    73,294x = 25,521,660,025
  5. Step 5: Solve for x
    x = 25,521,660,025/73,294
  6. Step 6: Final answer
    x = 348,209.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.