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Finding the Third Proportional to 127,369.13 and 191,085.75

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Solution

The third proportional to 127,369.13 and 191,085.75 is: 286,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,369.13 : 191,085.75 = 191,085.75 : x
  2. Step 2: Convert to fraction form
    127,369.13/191,085.75 = 191,085.75/x
  3. Step 3: Cross multiply
    127,369.13x = 191,085.75 × 191,085.75
  4. Step 4: Simplify right side
    127,369.13x = 36,513,763,853.06
  5. Step 5: Solve for x
    x = 36,513,763,853.06/127,369.13
  6. Step 6: Final answer
    x = 286,676.73

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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.