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Finding the Third Proportional to 70,102 and 152,035

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Solution

The third proportional to 70,102 and 152,035 is: 329,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102 : 152,035 = 152,035 : x
  2. Step 2: Convert to fraction form
    70,102/152,035 = 152,035/x
  3. Step 3: Cross multiply
    70,102x = 152,035 × 152,035
  4. Step 4: Simplify right side
    70,102x = 23,114,641,225
  5. Step 5: Solve for x
    x = 23,114,641,225/70,102
  6. Step 6: Final answer
    x = 329,728.70

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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.