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Finding the Third Proportional to 68,667.75 and 102,934.13

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Solution

The third proportional to 68,667.75 and 102,934.13 is: 154,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,667.75 : 102,934.13 = 102,934.13 : x
  2. Step 2: Convert to fraction form
    68,667.75/102,934.13 = 102,934.13/x
  3. Step 3: Cross multiply
    68,667.75x = 102,934.13 × 102,934.13
  4. Step 4: Simplify right side
    68,667.75x = 10,595,434,089.52
  5. Step 5: Solve for x
    x = 10,595,434,089.52/68,667.75
  6. Step 6: Final answer
    x = 154,300.00

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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.