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Finding the Third Proportional to 60,114 and 89,827

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Solution

The third proportional to 60,114 and 89,827 is: 134,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,114 : 89,827 = 89,827 : x
  2. Step 2: Convert to fraction form
    60,114/89,827 = 89,827/x
  3. Step 3: Cross multiply
    60,114x = 89,827 × 89,827
  4. Step 4: Simplify right side
    60,114x = 8,068,889,929
  5. Step 5: Solve for x
    x = 8,068,889,929/60,114
  6. Step 6: Final answer
    x = 134,226.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.