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Finding the Third Proportional to 56,821.50 and 89,137.13

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Solution

The third proportional to 56,821.50 and 89,137.13 is: 139,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,821.50 : 89,137.13 = 89,137.13 : x
  2. Step 2: Convert to fraction form
    56,821.50/89,137.13 = 89,137.13/x
  3. Step 3: Cross multiply
    56,821.50x = 89,137.13 × 89,137.13
  4. Step 4: Simplify right side
    56,821.50x = 7,945,427,053.27
  5. Step 5: Solve for x
    x = 7,945,427,053.27/56,821.50
  6. Step 6: Final answer
    x = 139,831.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.