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Finding the Third Proportional to 101,023 and 151,535

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Solution

The third proportional to 101,023 and 151,535 is: 227,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,023 : 151,535 = 151,535 : x
  2. Step 2: Convert to fraction form
    101,023/151,535 = 151,535/x
  3. Step 3: Cross multiply
    101,023x = 151,535 × 151,535
  4. Step 4: Simplify right side
    101,023x = 22,962,856,225
  5. Step 5: Solve for x
    x = 22,962,856,225/101,023
  6. Step 6: Final answer
    x = 227,303.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.