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Finding the Third Proportional to 136,626.19 and 191,055.94

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Solution

The third proportional to 136,626.19 and 191,055.94 is: 267,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,626.19 : 191,055.94 = 191,055.94 : x
  2. Step 2: Convert to fraction form
    136,626.19/191,055.94 = 191,055.94/x
  3. Step 3: Cross multiply
    136,626.19x = 191,055.94 × 191,055.94
  4. Step 4: Simplify right side
    136,626.19x = 36,502,371,254.00
  5. Step 5: Solve for x
    x = 36,502,371,254.00/136,626.19
  6. Step 6: Final answer
    x = 267,169.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.