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Finding the Third Proportional to 103,624 and 153,247

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Solution

The third proportional to 103,624 and 153,247 is: 226,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 153,247 = 153,247 : x
  2. Step 2: Convert to fraction form
    103,624/153,247 = 153,247/x
  3. Step 3: Cross multiply
    103,624x = 153,247 × 153,247
  4. Step 4: Simplify right side
    103,624x = 23,484,643,009
  5. Step 5: Solve for x
    x = 23,484,643,009/103,624
  6. Step 6: Final answer
    x = 226,633.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.