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Finding the Third Proportional to 110,432 and 174,928

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Solution

The third proportional to 110,432 and 174,928 is: 277,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,432 : 174,928 = 174,928 : x
  2. Step 2: Convert to fraction form
    110,432/174,928 = 174,928/x
  3. Step 3: Cross multiply
    110,432x = 174,928 × 174,928
  4. Step 4: Simplify right side
    110,432x = 30,599,805,184
  5. Step 5: Solve for x
    x = 30,599,805,184/110,432
  6. Step 6: Final answer
    x = 277,091.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.