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Finding the Third Proportional to 70,172 and 107,854

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Solution

The third proportional to 70,172 and 107,854 is: 165,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172 : 107,854 = 107,854 : x
  2. Step 2: Convert to fraction form
    70,172/107,854 = 107,854/x
  3. Step 3: Cross multiply
    70,172x = 107,854 × 107,854
  4. Step 4: Simplify right side
    70,172x = 11,632,485,316
  5. Step 5: Solve for x
    x = 11,632,485,316/70,172
  6. Step 6: Final answer
    x = 165,771.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.