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Finding the Third Proportional to 70,854 and 108,513

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Solution

The third proportional to 70,854 and 108,513 is: 166,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854 : 108,513 = 108,513 : x
  2. Step 2: Convert to fraction form
    70,854/108,513 = 108,513/x
  3. Step 3: Cross multiply
    70,854x = 108,513 × 108,513
  4. Step 4: Simplify right side
    70,854x = 11,775,071,169
  5. Step 5: Solve for x
    x = 11,775,071,169/70,854
  6. Step 6: Final answer
    x = 166,187.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.