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Finding the Third Proportional to 59,054 and 86,310

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Solution

The third proportional to 59,054 and 86,310 is: 126,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,054 : 86,310 = 86,310 : x
  2. Step 2: Convert to fraction form
    59,054/86,310 = 86,310/x
  3. Step 3: Cross multiply
    59,054x = 86,310 × 86,310
  4. Step 4: Simplify right side
    59,054x = 7,449,416,100
  5. Step 5: Solve for x
    x = 7,449,416,100/59,054
  6. Step 6: Final answer
    x = 126,145.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.