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Finding the Third Proportional to 122,058.14 and 182,967.61

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Solution

The third proportional to 122,058.14 and 182,967.61 is: 274,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,058.14 : 182,967.61 = 182,967.61 : x
  2. Step 2: Convert to fraction form
    122,058.14/182,967.61 = 182,967.61/x
  3. Step 3: Cross multiply
    122,058.14x = 182,967.61 × 182,967.61
  4. Step 4: Simplify right side
    122,058.14x = 33,477,146,080.40
  5. Step 5: Solve for x
    x = 33,477,146,080.40/122,058.14
  6. Step 6: Final answer
    x = 274,272.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.