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Finding the Third Proportional to 70,239 and 151,700

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Solution

The third proportional to 70,239 and 151,700 is: 327,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,239 : 151,700 = 151,700 : x
  2. Step 2: Convert to fraction form
    70,239/151,700 = 151,700/x
  3. Step 3: Cross multiply
    70,239x = 151,700 × 151,700
  4. Step 4: Simplify right side
    70,239x = 23,012,890,000
  5. Step 5: Solve for x
    x = 23,012,890,000/70,239
  6. Step 6: Final answer
    x = 327,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.