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Finding the Third Proportional to 70,051 and 150,470

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Solution

The third proportional to 70,051 and 150,470 is: 323,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051 : 150,470 = 150,470 : x
  2. Step 2: Convert to fraction form
    70,051/150,470 = 150,470/x
  3. Step 3: Cross multiply
    70,051x = 150,470 × 150,470
  4. Step 4: Simplify right side
    70,051x = 22,641,220,900
  5. Step 5: Solve for x
    x = 22,641,220,900/70,051
  6. Step 6: Final answer
    x = 323,210.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.