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Finding the Third Proportional to 134,551.78 and 182,812.78

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Solution

The third proportional to 134,551.78 and 182,812.78 is: 248,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,551.78 : 182,812.78 = 182,812.78 : x
  2. Step 2: Convert to fraction form
    134,551.78/182,812.78 = 182,812.78/x
  3. Step 3: Cross multiply
    134,551.78x = 182,812.78 × 182,812.78
  4. Step 4: Simplify right side
    134,551.78x = 33,420,512,988.36
  5. Step 5: Solve for x
    x = 33,420,512,988.36/134,551.78
  6. Step 6: Final answer
    x = 248,384.02

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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.