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Finding the Third Proportional to 73,210 and 157,706

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Solution

The third proportional to 73,210 and 157,706 is: 339,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,210 : 157,706 = 157,706 : x
  2. Step 2: Convert to fraction form
    73,210/157,706 = 157,706/x
  3. Step 3: Cross multiply
    73,210x = 157,706 × 157,706
  4. Step 4: Simplify right side
    73,210x = 24,871,182,436
  5. Step 5: Solve for x
    x = 24,871,182,436/73,210
  6. Step 6: Final answer
    x = 339,723.84

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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.