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Finding the Third Proportional to 58,413.94 and 127,638.56

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Solution

The third proportional to 58,413.94 and 127,638.56 is: 278,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413.94 : 127,638.56 = 127,638.56 : x
  2. Step 2: Convert to fraction form
    58,413.94/127,638.56 = 127,638.56/x
  3. Step 3: Cross multiply
    58,413.94x = 127,638.56 × 127,638.56
  4. Step 4: Simplify right side
    58,413.94x = 16,291,602,637.07
  5. Step 5: Solve for x
    x = 16,291,602,637.07/58,413.94
  6. Step 6: Final answer
    x = 278,899.24

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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.