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Finding the Third Proportional to 53,205.61 and 117,482.91

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Solution

The third proportional to 53,205.61 and 117,482.91 is: 259,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.61 : 117,482.91 = 117,482.91 : x
  2. Step 2: Convert to fraction form
    53,205.61/117,482.91 = 117,482.91/x
  3. Step 3: Cross multiply
    53,205.61x = 117,482.91 × 117,482.91
  4. Step 4: Simplify right side
    53,205.61x = 13,802,233,260.95
  5. Step 5: Solve for x
    x = 13,802,233,260.95/53,205.61
  6. Step 6: Final answer
    x = 259,413.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.