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Finding the Third Proportional to 64,169 and 149,926

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Solution

The third proportional to 64,169 and 149,926 is: 350,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,169 : 149,926 = 149,926 : x
  2. Step 2: Convert to fraction form
    64,169/149,926 = 149,926/x
  3. Step 3: Cross multiply
    64,169x = 149,926 × 149,926
  4. Step 4: Simplify right side
    64,169x = 22,477,805,476
  5. Step 5: Solve for x
    x = 22,477,805,476/64,169
  6. Step 6: Final answer
    x = 350,290.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.