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Finding the Third Proportional to 69,013.69 and 97,867.41

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Solution

The third proportional to 69,013.69 and 97,867.41 is: 138,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013.69 : 97,867.41 = 97,867.41 : x
  2. Step 2: Convert to fraction form
    69,013.69/97,867.41 = 97,867.41/x
  3. Step 3: Cross multiply
    69,013.69x = 97,867.41 × 97,867.41
  4. Step 4: Simplify right side
    69,013.69x = 9,578,029,206.10
  5. Step 5: Solve for x
    x = 9,578,029,206.10/69,013.69
  6. Step 6: Final answer
    x = 138,784.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.