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Finding the Third Proportional to 58,405.22 and 127,866.94

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Solution

The third proportional to 58,405.22 and 127,866.94 is: 279,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,405.22 : 127,866.94 = 127,866.94 : x
  2. Step 2: Convert to fraction form
    58,405.22/127,866.94 = 127,866.94/x
  3. Step 3: Cross multiply
    58,405.22x = 127,866.94 × 127,866.94
  4. Step 4: Simplify right side
    58,405.22x = 16,349,953,705.63
  5. Step 5: Solve for x
    x = 16,349,953,705.63/58,405.22
  6. Step 6: Final answer
    x = 279,939.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.