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Finding the Third Proportional to 70,127 and 150,220

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Solution

The third proportional to 70,127 and 150,220 is: 321,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,127 : 150,220 = 150,220 : x
  2. Step 2: Convert to fraction form
    70,127/150,220 = 150,220/x
  3. Step 3: Cross multiply
    70,127x = 150,220 × 150,220
  4. Step 4: Simplify right side
    70,127x = 22,566,048,400
  5. Step 5: Solve for x
    x = 22,566,048,400/70,127
  6. Step 6: Final answer
    x = 321,788.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.