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Finding the Third Proportional to 34,217 and 70,730

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Solution

The third proportional to 34,217 and 70,730 is: 146,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,217 : 70,730 = 70,730 : x
  2. Step 2: Convert to fraction form
    34,217/70,730 = 70,730/x
  3. Step 3: Cross multiply
    34,217x = 70,730 × 70,730
  4. Step 4: Simplify right side
    34,217x = 5,002,732,900
  5. Step 5: Solve for x
    x = 5,002,732,900/34,217
  6. Step 6: Final answer
    x = 146,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.