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Finding the Third Proportional to 69,154 and 101,531

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Solution

The third proportional to 69,154 and 101,531 is: 149,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,154 : 101,531 = 101,531 : x
  2. Step 2: Convert to fraction form
    69,154/101,531 = 101,531/x
  3. Step 3: Cross multiply
    69,154x = 101,531 × 101,531
  4. Step 4: Simplify right side
    69,154x = 10,308,543,961
  5. Step 5: Solve for x
    x = 10,308,543,961/69,154
  6. Step 6: Final answer
    x = 149,066.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.