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Finding the Third Proportional to 141,065.25 and 191,368.13

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Solution

The third proportional to 141,065.25 and 191,368.13 is: 259,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065.25 : 191,368.13 = 191,368.13 : x
  2. Step 2: Convert to fraction form
    141,065.25/191,368.13 = 191,368.13/x
  3. Step 3: Cross multiply
    141,065.25x = 191,368.13 × 191,368.13
  4. Step 4: Simplify right side
    141,065.25x = 36,621,759,266.02
  5. Step 5: Solve for x
    x = 36,621,759,266.02/141,065.25
  6. Step 6: Final answer
    x = 259,608.65

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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.