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Finding the Third Proportional to 58,212 and 88,989

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Solution

The third proportional to 58,212 and 88,989 is: 136,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,212 : 88,989 = 88,989 : x
  2. Step 2: Convert to fraction form
    58,212/88,989 = 88,989/x
  3. Step 3: Cross multiply
    58,212x = 88,989 × 88,989
  4. Step 4: Simplify right side
    58,212x = 7,919,042,121
  5. Step 5: Solve for x
    x = 7,919,042,121/58,212
  6. Step 6: Final answer
    x = 136,037.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.