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Finding the Third Proportional to 58,180 and 88,962

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Solution

The third proportional to 58,180 and 88,962 is: 136,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,180 : 88,962 = 88,962 : x
  2. Step 2: Convert to fraction form
    58,180/88,962 = 88,962/x
  3. Step 3: Cross multiply
    58,180x = 88,962 × 88,962
  4. Step 4: Simplify right side
    58,180x = 7,914,237,444
  5. Step 5: Solve for x
    x = 7,914,237,444/58,180
  6. Step 6: Final answer
    x = 136,030.21

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