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Finding the Third Proportional to 92,269.13 and 121,155.75

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Solution

The third proportional to 92,269.13 and 121,155.75 is: 159,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,269.13 : 121,155.75 = 121,155.75 : x
  2. Step 2: Convert to fraction form
    92,269.13/121,155.75 = 121,155.75/x
  3. Step 3: Cross multiply
    92,269.13x = 121,155.75 × 121,155.75
  4. Step 4: Simplify right side
    92,269.13x = 14,678,715,758.06
  5. Step 5: Solve for x
    x = 14,678,715,758.06/92,269.13
  6. Step 6: Final answer
    x = 159,085.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.