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Finding the Third Proportional to 69,266 and 101,307

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Solution

The third proportional to 69,266 and 101,307 is: 148,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266 : 101,307 = 101,307 : x
  2. Step 2: Convert to fraction form
    69,266/101,307 = 101,307/x
  3. Step 3: Cross multiply
    69,266x = 101,307 × 101,307
  4. Step 4: Simplify right side
    69,266x = 10,263,108,249
  5. Step 5: Solve for x
    x = 10,263,108,249/69,266
  6. Step 6: Final answer
    x = 148,169.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.