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Finding the Third Proportional to 66,260.25 and 102,711.38

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Solution

The third proportional to 66,260.25 and 102,711.38 is: 159,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,260.25 : 102,711.38 = 102,711.38 : x
  2. Step 2: Convert to fraction form
    66,260.25/102,711.38 = 102,711.38/x
  3. Step 3: Cross multiply
    66,260.25x = 102,711.38 × 102,711.38
  4. Step 4: Simplify right side
    66,260.25x = 10,549,626,554.39
  5. Step 5: Solve for x
    x = 10,549,626,554.39/66,260.25
  6. Step 6: Final answer
    x = 159,215.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.