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Finding the Third Proportional to 101,270 and 162,706

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Solution

The third proportional to 101,270 and 162,706 is: 261,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270 : 162,706 = 162,706 : x
  2. Step 2: Convert to fraction form
    101,270/162,706 = 162,706/x
  3. Step 3: Cross multiply
    101,270x = 162,706 × 162,706
  4. Step 4: Simplify right side
    101,270x = 26,473,242,436
  5. Step 5: Solve for x
    x = 26,473,242,436/101,270
  6. Step 6: Final answer
    x = 261,412.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.