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Finding the Third Proportional to 58,900.50 and 89,208

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Solution

The third proportional to 58,900.50 and 89,208 is: 135,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,900.50 : 89,208 = 89,208 : x
  2. Step 2: Convert to fraction form
    58,900.50/89,208 = 89,208/x
  3. Step 3: Cross multiply
    58,900.50x = 89,208 × 89,208
  4. Step 4: Simplify right side
    58,900.50x = 7,958,067,264
  5. Step 5: Solve for x
    x = 7,958,067,264/58,900.50
  6. Step 6: Final answer
    x = 135,110.35

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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.