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Finding the Third Proportional to 57,990 and 89,791

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Solution

The third proportional to 57,990 and 89,791 is: 139,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,990 : 89,791 = 89,791 : x
  2. Step 2: Convert to fraction form
    57,990/89,791 = 89,791/x
  3. Step 3: Cross multiply
    57,990x = 89,791 × 89,791
  4. Step 4: Simplify right side
    57,990x = 8,062,423,681
  5. Step 5: Solve for x
    x = 8,062,423,681/57,990
  6. Step 6: Final answer
    x = 139,031.28

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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.