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Finding the Third Proportional to 58,201 and 88,991

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Solution

The third proportional to 58,201 and 88,991 is: 136,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,201 : 88,991 = 88,991 : x
  2. Step 2: Convert to fraction form
    58,201/88,991 = 88,991/x
  3. Step 3: Cross multiply
    58,201x = 88,991 × 88,991
  4. Step 4: Simplify right side
    58,201x = 7,919,398,081
  5. Step 5: Solve for x
    x = 7,919,398,081/58,201
  6. Step 6: Final answer
    x = 136,069.79

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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.