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Finding the Third Proportional to 113,984 and 176,944

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Solution

The third proportional to 113,984 and 176,944 is: 274,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,984 : 176,944 = 176,944 : x
  2. Step 2: Convert to fraction form
    113,984/176,944 = 176,944/x
  3. Step 3: Cross multiply
    113,984x = 176,944 × 176,944
  4. Step 4: Simplify right side
    113,984x = 31,309,179,136
  5. Step 5: Solve for x
    x = 31,309,179,136/113,984
  6. Step 6: Final answer
    x = 274,680.47

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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.