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Finding the Third Proportional to 73,258 and 111,289

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Solution

The third proportional to 73,258 and 111,289 is: 169,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,258 : 111,289 = 111,289 : x
  2. Step 2: Convert to fraction form
    73,258/111,289 = 111,289/x
  3. Step 3: Cross multiply
    73,258x = 111,289 × 111,289
  4. Step 4: Simplify right side
    73,258x = 12,385,241,521
  5. Step 5: Solve for x
    x = 12,385,241,521/73,258
  6. Step 6: Final answer
    x = 169,063.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.