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Finding the Third Proportional to 69,076 and 107,070

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Solution

The third proportional to 69,076 and 107,070 is: 165,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076 : 107,070 = 107,070 : x
  2. Step 2: Convert to fraction form
    69,076/107,070 = 107,070/x
  3. Step 3: Cross multiply
    69,076x = 107,070 × 107,070
  4. Step 4: Simplify right side
    69,076x = 11,463,984,900
  5. Step 5: Solve for x
    x = 11,463,984,900/69,076
  6. Step 6: Final answer
    x = 165,961.91

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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.