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Finding the Third Proportional to 74,262 and 114,910

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Solution

The third proportional to 74,262 and 114,910 is: 177,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,262 : 114,910 = 114,910 : x
  2. Step 2: Convert to fraction form
    74,262/114,910 = 114,910/x
  3. Step 3: Cross multiply
    74,262x = 114,910 × 114,910
  4. Step 4: Simplify right side
    74,262x = 13,204,308,100
  5. Step 5: Solve for x
    x = 13,204,308,100/74,262
  6. Step 6: Final answer
    x = 177,807.06

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