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Finding the Third Proportional to 58,384.78 and 127,674.67

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Solution

The third proportional to 58,384.78 and 127,674.67 is: 279,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384.78 : 127,674.67 = 127,674.67 : x
  2. Step 2: Convert to fraction form
    58,384.78/127,674.67 = 127,674.67/x
  3. Step 3: Cross multiply
    58,384.78x = 127,674.67 × 127,674.67
  4. Step 4: Simplify right side
    58,384.78x = 16,300,820,840.93
  5. Step 5: Solve for x
    x = 16,300,820,840.93/58,384.78
  6. Step 6: Final answer
    x = 279,196.39

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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.