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Finding the Third Proportional to 100,562.63 and 149,104.50

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Solution

The third proportional to 100,562.63 and 149,104.50 is: 221,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,562.63 : 149,104.50 = 149,104.50 : x
  2. Step 2: Convert to fraction form
    100,562.63/149,104.50 = 149,104.50/x
  3. Step 3: Cross multiply
    100,562.63x = 149,104.50 × 149,104.50
  4. Step 4: Simplify right side
    100,562.63x = 22,232,151,920.25
  5. Step 5: Solve for x
    x = 22,232,151,920.25/100,562.63
  6. Step 6: Final answer
    x = 221,077.68

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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.