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Finding the Third Proportional to 41,552 and 89,440

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Solution

The third proportional to 41,552 and 89,440 is: 192,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,552 : 89,440 = 89,440 : x
  2. Step 2: Convert to fraction form
    41,552/89,440 = 89,440/x
  3. Step 3: Cross multiply
    41,552x = 89,440 × 89,440
  4. Step 4: Simplify right side
    41,552x = 7,999,513,600
  5. Step 5: Solve for x
    x = 7,999,513,600/41,552
  6. Step 6: Final answer
    x = 192,518.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.