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Finding the Third Proportional to 136,743.75 and 207,002.25

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Solution

The third proportional to 136,743.75 and 207,002.25 is: 313,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,743.75 : 207,002.25 = 207,002.25 : x
  2. Step 2: Convert to fraction form
    136,743.75/207,002.25 = 207,002.25/x
  3. Step 3: Cross multiply
    136,743.75x = 207,002.25 × 207,002.25
  4. Step 4: Simplify right side
    136,743.75x = 42,849,931,505.06
  5. Step 5: Solve for x
    x = 42,849,931,505.06/136,743.75
  6. Step 6: Final answer
    x = 313,359.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.