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Finding the Third Proportional to 70,107 and 152,045

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Solution

The third proportional to 70,107 and 152,045 is: 329,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,107 : 152,045 = 152,045 : x
  2. Step 2: Convert to fraction form
    70,107/152,045 = 152,045/x
  3. Step 3: Cross multiply
    70,107x = 152,045 × 152,045
  4. Step 4: Simplify right side
    70,107x = 23,117,682,025
  5. Step 5: Solve for x
    x = 23,117,682,025/70,107
  6. Step 6: Final answer
    x = 329,748.56

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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.