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Finding the Third Proportional to 69,202 and 149,501

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Solution

The third proportional to 69,202 and 149,501 is: 322,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202 : 149,501 = 149,501 : x
  2. Step 2: Convert to fraction form
    69,202/149,501 = 149,501/x
  3. Step 3: Cross multiply
    69,202x = 149,501 × 149,501
  4. Step 4: Simplify right side
    69,202x = 22,350,549,001
  5. Step 5: Solve for x
    x = 22,350,549,001/69,202
  6. Step 6: Final answer
    x = 322,975.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.