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Finding the Third Proportional to 69,626 and 101,461

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Solution

The third proportional to 69,626 and 101,461 is: 147,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,626 : 101,461 = 101,461 : x
  2. Step 2: Convert to fraction form
    69,626/101,461 = 101,461/x
  3. Step 3: Cross multiply
    69,626x = 101,461 × 101,461
  4. Step 4: Simplify right side
    69,626x = 10,294,334,521
  5. Step 5: Solve for x
    x = 10,294,334,521/69,626
  6. Step 6: Final answer
    x = 147,851.87

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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.