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Finding the Third Proportional to 65,022.75 and 102,988.13

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Solution

The third proportional to 65,022.75 and 102,988.13 is: 163,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.75 : 102,988.13 = 102,988.13 : x
  2. Step 2: Convert to fraction form
    65,022.75/102,988.13 = 102,988.13/x
  3. Step 3: Cross multiply
    65,022.75x = 102,988.13 × 102,988.13
  4. Step 4: Simplify right side
    65,022.75x = 10,606,553,891.02
  5. Step 5: Solve for x
    x = 10,606,553,891.02/65,022.75
  6. Step 6: Final answer
    x = 163,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.