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Finding the Third Proportional to 141,326 and 191,910

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Solution

The third proportional to 141,326 and 191,910 is: 260,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,326 : 191,910 = 191,910 : x
  2. Step 2: Convert to fraction form
    141,326/191,910 = 191,910/x
  3. Step 3: Cross multiply
    141,326x = 191,910 × 191,910
  4. Step 4: Simplify right side
    141,326x = 36,829,448,100
  5. Step 5: Solve for x
    x = 36,829,448,100/141,326
  6. Step 6: Final answer
    x = 260,599.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.