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Finding the Third Proportional to 70,432 and 151,964

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Solution

The third proportional to 70,432 and 151,964 is: 327,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432 : 151,964 = 151,964 : x
  2. Step 2: Convert to fraction form
    70,432/151,964 = 151,964/x
  3. Step 3: Cross multiply
    70,432x = 151,964 × 151,964
  4. Step 4: Simplify right side
    70,432x = 23,093,057,296
  5. Step 5: Solve for x
    x = 23,093,057,296/70,432
  6. Step 6: Final answer
    x = 327,877.35

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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.