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Finding the Third Proportional to 100,564.13 and 149,105.63

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Solution

The third proportional to 100,564.13 and 149,105.63 is: 221,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.13 : 149,105.63 = 149,105.63 : x
  2. Step 2: Convert to fraction form
    100,564.13/149,105.63 = 149,105.63/x
  3. Step 3: Cross multiply
    100,564.13x = 149,105.63 × 149,105.63
  4. Step 4: Simplify right side
    100,564.13x = 22,232,487,406.64
  5. Step 5: Solve for x
    x = 22,232,487,406.64/100,564.13
  6. Step 6: Final answer
    x = 221,077.72

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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.