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Finding the Third Proportional to 70,101 and 152,034

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Solution

The third proportional to 70,101 and 152,034 is: 329,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101 : 152,034 = 152,034 : x
  2. Step 2: Convert to fraction form
    70,101/152,034 = 152,034/x
  3. Step 3: Cross multiply
    70,101x = 152,034 × 152,034
  4. Step 4: Simplify right side
    70,101x = 23,114,337,156
  5. Step 5: Solve for x
    x = 23,114,337,156/70,101
  6. Step 6: Final answer
    x = 329,729.06

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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.