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Finding the Third Proportional to 61,490.81 and 132,413.06

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Solution

The third proportional to 61,490.81 and 132,413.06 is: 285,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,490.81 : 132,413.06 = 132,413.06 : x
  2. Step 2: Convert to fraction form
    61,490.81/132,413.06 = 132,413.06/x
  3. Step 3: Cross multiply
    61,490.81x = 132,413.06 × 132,413.06
  4. Step 4: Simplify right side
    61,490.81x = 17,533,219,120.63
  5. Step 5: Solve for x
    x = 17,533,219,120.63/61,490.81
  6. Step 6: Final answer
    x = 285,135.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.