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Finding the Third Proportional to 52,106.63 and 82,979.44

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Solution

The third proportional to 52,106.63 and 82,979.44 is: 132,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.63 : 82,979.44 = 82,979.44 : x
  2. Step 2: Convert to fraction form
    52,106.63/82,979.44 = 82,979.44/x
  3. Step 3: Cross multiply
    52,106.63x = 82,979.44 × 82,979.44
  4. Step 4: Simplify right side
    52,106.63x = 6,885,587,047.82
  5. Step 5: Solve for x
    x = 6,885,587,047.82/52,106.63
  6. Step 6: Final answer
    x = 132,144.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.