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Finding the Third Proportional to 59,486.91 and 133,953.75

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Solution

The third proportional to 59,486.91 and 133,953.75 is: 301,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,486.91 : 133,953.75 = 133,953.75 : x
  2. Step 2: Convert to fraction form
    59,486.91/133,953.75 = 133,953.75/x
  3. Step 3: Cross multiply
    59,486.91x = 133,953.75 × 133,953.75
  4. Step 4: Simplify right side
    59,486.91x = 17,943,607,139.06
  5. Step 5: Solve for x
    x = 17,943,607,139.06/59,486.91
  6. Step 6: Final answer
    x = 301,639.61

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.