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Finding the Third Proportional to 35,160 and 82,998

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Solution

The third proportional to 35,160 and 82,998 is: 195,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,160 : 82,998 = 82,998 : x
  2. Step 2: Convert to fraction form
    35,160/82,998 = 82,998/x
  3. Step 3: Cross multiply
    35,160x = 82,998 × 82,998
  4. Step 4: Simplify right side
    35,160x = 6,888,668,004
  5. Step 5: Solve for x
    x = 6,888,668,004/35,160
  6. Step 6: Final answer
    x = 195,923.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.