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Finding the Third Proportional to 71,294 and 154,730

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Solution

The third proportional to 71,294 and 154,730 is: 335,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294 : 154,730 = 154,730 : x
  2. Step 2: Convert to fraction form
    71,294/154,730 = 154,730/x
  3. Step 3: Cross multiply
    71,294x = 154,730 × 154,730
  4. Step 4: Simplify right side
    71,294x = 23,941,372,900
  5. Step 5: Solve for x
    x = 23,941,372,900/71,294
  6. Step 6: Final answer
    x = 335,811.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.