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Finding the Third Proportional to 106,966.50 and 187,684.50

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Solution

The third proportional to 106,966.50 and 187,684.50 is: 329,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,966.50 : 187,684.50 = 187,684.50 : x
  2. Step 2: Convert to fraction form
    106,966.50/187,684.50 = 187,684.50/x
  3. Step 3: Cross multiply
    106,966.50x = 187,684.50 × 187,684.50
  4. Step 4: Simplify right side
    106,966.50x = 35,225,471,540.25
  5. Step 5: Solve for x
    x = 35,225,471,540.25/106,966.50
  6. Step 6: Final answer
    x = 329,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.