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Finding the Third Proportional to 101,964 and 155,106

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Solution

The third proportional to 101,964 and 155,106 is: 235,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964 : 155,106 = 155,106 : x
  2. Step 2: Convert to fraction form
    101,964/155,106 = 155,106/x
  3. Step 3: Cross multiply
    101,964x = 155,106 × 155,106
  4. Step 4: Simplify right side
    101,964x = 24,057,871,236
  5. Step 5: Solve for x
    x = 24,057,871,236/101,964
  6. Step 6: Final answer
    x = 235,944.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.