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Finding the Third Proportional to 92,000 and 145,928

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Solution

The third proportional to 92,000 and 145,928 is: 231,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,000 : 145,928 = 145,928 : x
  2. Step 2: Convert to fraction form
    92,000/145,928 = 145,928/x
  3. Step 3: Cross multiply
    92,000x = 145,928 × 145,928
  4. Step 4: Simplify right side
    92,000x = 21,294,981,184
  5. Step 5: Solve for x
    x = 21,294,981,184/92,000
  6. Step 6: Final answer
    x = 231,467.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.