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Finding the Third Proportional to 35,107 and 77,017

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Solution

The third proportional to 35,107 and 77,017 is: 168,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107 : 77,017 = 77,017 : x
  2. Step 2: Convert to fraction form
    35,107/77,017 = 77,017/x
  3. Step 3: Cross multiply
    35,107x = 77,017 × 77,017
  4. Step 4: Simplify right side
    35,107x = 5,931,618,289
  5. Step 5: Solve for x
    x = 5,931,618,289/35,107
  6. Step 6: Final answer
    x = 168,958.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.