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Finding the Third Proportional to 65,754 and 101,169

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Solution

The third proportional to 65,754 and 101,169 is: 155,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754 : 101,169 = 101,169 : x
  2. Step 2: Convert to fraction form
    65,754/101,169 = 101,169/x
  3. Step 3: Cross multiply
    65,754x = 101,169 × 101,169
  4. Step 4: Simplify right side
    65,754x = 10,235,166,561
  5. Step 5: Solve for x
    x = 10,235,166,561/65,754
  6. Step 6: Final answer
    x = 155,658.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.