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Finding the Third Proportional to 70,051 and 108,768

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Solution

The third proportional to 70,051 and 108,768 is: 168,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,051 : 108,768 = 108,768 : x
  2. Step 2: Convert to fraction form
    70,051/108,768 = 108,768/x
  3. Step 3: Cross multiply
    70,051x = 108,768 × 108,768
  4. Step 4: Simplify right side
    70,051x = 11,830,477,824
  5. Step 5: Solve for x
    x = 11,830,477,824/70,051
  6. Step 6: Final answer
    x = 168,883.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.