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Finding the Third Proportional to 56,640 and 89,981

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Solution

The third proportional to 56,640 and 89,981 is: 142,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640 : 89,981 = 89,981 : x
  2. Step 2: Convert to fraction form
    56,640/89,981 = 89,981/x
  3. Step 3: Cross multiply
    56,640x = 89,981 × 89,981
  4. Step 4: Simplify right side
    56,640x = 8,096,580,361
  5. Step 5: Solve for x
    x = 8,096,580,361/56,640
  6. Step 6: Final answer
    x = 142,948.10

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.