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Finding the Third Proportional to 59,458 and 87,054

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Solution

The third proportional to 59,458 and 87,054 is: 127,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,458 : 87,054 = 87,054 : x
  2. Step 2: Convert to fraction form
    59,458/87,054 = 87,054/x
  3. Step 3: Cross multiply
    59,458x = 87,054 × 87,054
  4. Step 4: Simplify right side
    59,458x = 7,578,398,916
  5. Step 5: Solve for x
    x = 7,578,398,916/59,458
  6. Step 6: Final answer
    x = 127,458.02

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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.