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Finding the Third Proportional to 92,329.88 and 141,294.38

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Solution

The third proportional to 92,329.88 and 141,294.38 is: 216,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,329.88 : 141,294.38 = 141,294.38 : x
  2. Step 2: Convert to fraction form
    92,329.88/141,294.38 = 141,294.38/x
  3. Step 3: Cross multiply
    92,329.88x = 141,294.38 × 141,294.38
  4. Step 4: Simplify right side
    92,329.88x = 19,964,100,406.64
  5. Step 5: Solve for x
    x = 19,964,100,406.64/92,329.88
  6. Step 6: Final answer
    x = 216,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.