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Finding the Third Proportional to 59,054.06 and 127,949.63

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Solution

The third proportional to 59,054.06 and 127,949.63 is: 277,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,054.06 : 127,949.63 = 127,949.63 : x
  2. Step 2: Convert to fraction form
    59,054.06/127,949.63 = 127,949.63/x
  3. Step 3: Cross multiply
    59,054.06x = 127,949.63 × 127,949.63
  4. Step 4: Simplify right side
    59,054.06x = 16,371,106,537.64
  5. Step 5: Solve for x
    x = 16,371,106,537.64/59,054.06
  6. Step 6: Final answer
    x = 277,222.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.