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Finding the Third Proportional to 70,660 and 151,557

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Solution

The third proportional to 70,660 and 151,557 is: 325,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,660 : 151,557 = 151,557 : x
  2. Step 2: Convert to fraction form
    70,660/151,557 = 151,557/x
  3. Step 3: Cross multiply
    70,660x = 151,557 × 151,557
  4. Step 4: Simplify right side
    70,660x = 22,969,524,249
  5. Step 5: Solve for x
    x = 22,969,524,249/70,660
  6. Step 6: Final answer
    x = 325,071.10

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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.