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Finding the Third Proportional to 59,116 and 89,287

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Solution

The third proportional to 59,116 and 89,287 is: 134,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,116 : 89,287 = 89,287 : x
  2. Step 2: Convert to fraction form
    59,116/89,287 = 89,287/x
  3. Step 3: Cross multiply
    59,116x = 89,287 × 89,287
  4. Step 4: Simplify right side
    59,116x = 7,972,168,369
  5. Step 5: Solve for x
    x = 7,972,168,369/59,116
  6. Step 6: Final answer
    x = 134,856.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.