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Finding the Third Proportional to 92,235.75 and 138,354

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Solution

The third proportional to 92,235.75 and 138,354 is: 207,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,235.75 : 138,354 = 138,354 : x
  2. Step 2: Convert to fraction form
    92,235.75/138,354 = 138,354/x
  3. Step 3: Cross multiply
    92,235.75x = 138,354 × 138,354
  4. Step 4: Simplify right side
    92,235.75x = 19,141,829,316
  5. Step 5: Solve for x
    x = 19,141,829,316/92,235.75
  6. Step 6: Final answer
    x = 207,531.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.