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Finding the Third Proportional to 82,878.19 and 127,463.63

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Solution

The third proportional to 82,878.19 and 127,463.63 is: 196,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.19 : 127,463.63 = 127,463.63 : x
  2. Step 2: Convert to fraction form
    82,878.19/127,463.63 = 127,463.63/x
  3. Step 3: Cross multiply
    82,878.19x = 127,463.63 × 127,463.63
  4. Step 4: Simplify right side
    82,878.19x = 16,246,975,698.14
  5. Step 5: Solve for x
    x = 16,246,975,698.14/82,878.19
  6. Step 6: Final answer
    x = 196,034.40

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Why These Related Problems?

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