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Finding the Third Proportional to 58,471 and 88,232.75

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Solution

The third proportional to 58,471 and 88,232.75 is: 133,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471 : 88,232.75 = 88,232.75 : x
  2. Step 2: Convert to fraction form
    58,471/88,232.75 = 88,232.75/x
  3. Step 3: Cross multiply
    58,471x = 88,232.75 × 88,232.75
  4. Step 4: Simplify right side
    58,471x = 7,785,018,172.56
  5. Step 5: Solve for x
    x = 7,785,018,172.56/58,471
  6. Step 6: Final answer
    x = 133,143.24

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