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Finding the Third Proportional to 43,120 and 89,928

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Solution

The third proportional to 43,120 and 89,928 is: 187,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,120 : 89,928 = 89,928 : x
  2. Step 2: Convert to fraction form
    43,120/89,928 = 89,928/x
  3. Step 3: Cross multiply
    43,120x = 89,928 × 89,928
  4. Step 4: Simplify right side
    43,120x = 8,087,045,184
  5. Step 5: Solve for x
    x = 8,087,045,184/43,120
  6. Step 6: Final answer
    x = 187,547.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.