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Finding the Third Proportional to 70,948 and 153,700

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Solution

The third proportional to 70,948 and 153,700 is: 332,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948 : 153,700 = 153,700 : x
  2. Step 2: Convert to fraction form
    70,948/153,700 = 153,700/x
  3. Step 3: Cross multiply
    70,948x = 153,700 × 153,700
  4. Step 4: Simplify right side
    70,948x = 23,623,690,000
  5. Step 5: Solve for x
    x = 23,623,690,000/70,948
  6. Step 6: Final answer
    x = 332,971.89

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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.