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Finding the Third Proportional to 76,032 and 119,432

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Solution

The third proportional to 76,032 and 119,432 is: 187,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 119,432 = 119,432 : x
  2. Step 2: Convert to fraction form
    76,032/119,432 = 119,432/x
  3. Step 3: Cross multiply
    76,032x = 119,432 × 119,432
  4. Step 4: Simplify right side
    76,032x = 14,264,002,624
  5. Step 5: Solve for x
    x = 14,264,002,624/76,032
  6. Step 6: Final answer
    x = 187,605.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.