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Finding the Third Proportional to 137,752.25 and 212,769.75

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Solution

The third proportional to 137,752.25 and 212,769.75 is: 328,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.25 : 212,769.75 = 212,769.75 : x
  2. Step 2: Convert to fraction form
    137,752.25/212,769.75 = 212,769.75/x
  3. Step 3: Cross multiply
    137,752.25x = 212,769.75 × 212,769.75
  4. Step 4: Simplify right side
    137,752.25x = 45,270,966,515.06
  5. Step 5: Solve for x
    x = 45,270,966,515.06/137,752.25
  6. Step 6: Final answer
    x = 328,640.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.