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Finding the Third Proportional to 69,664 and 101,580

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Solution

The third proportional to 69,664 and 101,580 is: 148,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,664 : 101,580 = 101,580 : x
  2. Step 2: Convert to fraction form
    69,664/101,580 = 101,580/x
  3. Step 3: Cross multiply
    69,664x = 101,580 × 101,580
  4. Step 4: Simplify right side
    69,664x = 10,318,496,400
  5. Step 5: Solve for x
    x = 10,318,496,400/69,664
  6. Step 6: Final answer
    x = 148,118.06

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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.