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Finding the Third Proportional to 56,868 and 89,034

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Solution

The third proportional to 56,868 and 89,034 is: 139,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,868 : 89,034 = 89,034 : x
  2. Step 2: Convert to fraction form
    56,868/89,034 = 89,034/x
  3. Step 3: Cross multiply
    56,868x = 89,034 × 89,034
  4. Step 4: Simplify right side
    56,868x = 7,927,053,156
  5. Step 5: Solve for x
    x = 7,927,053,156/56,868
  6. Step 6: Final answer
    x = 139,393.91

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Why These Related Problems?

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