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Finding the Third Proportional to 100,584 and 149,141

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Solution

The third proportional to 100,584 and 149,141 is: 221,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 149,141 = 149,141 : x
  2. Step 2: Convert to fraction form
    100,584/149,141 = 149,141/x
  3. Step 3: Cross multiply
    100,584x = 149,141 × 149,141
  4. Step 4: Simplify right side
    100,584x = 22,243,037,881
  5. Step 5: Solve for x
    x = 22,243,037,881/100,584
  6. Step 6: Final answer
    x = 221,138.93

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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.