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Finding the Third Proportional to 66,637 and 100,147.50

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Solution

The third proportional to 66,637 and 100,147.50 is: 150,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,637 : 100,147.50 = 100,147.50 : x
  2. Step 2: Convert to fraction form
    66,637/100,147.50 = 100,147.50/x
  3. Step 3: Cross multiply
    66,637x = 100,147.50 × 100,147.50
  4. Step 4: Simplify right side
    66,637x = 10,029,521,756.25
  5. Step 5: Solve for x
    x = 10,029,521,756.25/66,637
  6. Step 6: Final answer
    x = 150,509.80

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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.