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Finding the Third Proportional to 69,353 and 101,560

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Solution

The third proportional to 69,353 and 101,560 is: 148,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,353 : 101,560 = 101,560 : x
  2. Step 2: Convert to fraction form
    69,353/101,560 = 101,560/x
  3. Step 3: Cross multiply
    69,353x = 101,560 × 101,560
  4. Step 4: Simplify right side
    69,353x = 10,314,433,600
  5. Step 5: Solve for x
    x = 10,314,433,600/69,353
  6. Step 6: Final answer
    x = 148,723.68

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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.