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Finding the Third Proportional to 58,569.75 and 127,740.38

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Solution

The third proportional to 58,569.75 and 127,740.38 is: 278,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,569.75 : 127,740.38 = 127,740.38 : x
  2. Step 2: Convert to fraction form
    58,569.75/127,740.38 = 127,740.38/x
  3. Step 3: Cross multiply
    58,569.75x = 127,740.38 × 127,740.38
  4. Step 4: Simplify right side
    58,569.75x = 16,317,603,405.14
  5. Step 5: Solve for x
    x = 16,317,603,405.14/58,569.75
  6. Step 6: Final answer
    x = 278,601.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.