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Finding the Third Proportional to 92,257.50 and 117,886.50

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Solution

The third proportional to 92,257.50 and 117,886.50 is: 150,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,257.50 : 117,886.50 = 117,886.50 : x
  2. Step 2: Convert to fraction form
    92,257.50/117,886.50 = 117,886.50/x
  3. Step 3: Cross multiply
    92,257.50x = 117,886.50 × 117,886.50
  4. Step 4: Simplify right side
    92,257.50x = 13,897,226,882.25
  5. Step 5: Solve for x
    x = 13,897,226,882.25/92,257.50
  6. Step 6: Final answer
    x = 150,635.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.