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Finding the Third Proportional to 76,948 and 115,928

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Solution

The third proportional to 76,948 and 115,928 is: 174,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,948 : 115,928 = 115,928 : x
  2. Step 2: Convert to fraction form
    76,948/115,928 = 115,928/x
  3. Step 3: Cross multiply
    76,948x = 115,928 × 115,928
  4. Step 4: Simplify right side
    76,948x = 13,439,301,184
  5. Step 5: Solve for x
    x = 13,439,301,184/76,948
  6. Step 6: Final answer
    x = 174,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.