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Finding the Third Proportional to 107,440 and 151,032

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Solution

The third proportional to 107,440 and 151,032 is: 212,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,440 : 151,032 = 151,032 : x
  2. Step 2: Convert to fraction form
    107,440/151,032 = 151,032/x
  3. Step 3: Cross multiply
    107,440x = 151,032 × 151,032
  4. Step 4: Simplify right side
    107,440x = 22,810,665,024
  5. Step 5: Solve for x
    x = 22,810,665,024/107,440
  6. Step 6: Final answer
    x = 212,310.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.