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Finding the Third Proportional to 100,570 and 149,114

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Solution

The third proportional to 100,570 and 149,114 is: 221,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570 : 149,114 = 149,114 : x
  2. Step 2: Convert to fraction form
    100,570/149,114 = 149,114/x
  3. Step 3: Cross multiply
    100,570x = 149,114 × 149,114
  4. Step 4: Simplify right side
    100,570x = 22,234,984,996
  5. Step 5: Solve for x
    x = 22,234,984,996/100,570
  6. Step 6: Final answer
    x = 221,089.64

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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.