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Finding the Third Proportional to 101,413.41 and 157,649.63

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Solution

The third proportional to 101,413.41 and 157,649.63 is: 245,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.41 : 157,649.63 = 157,649.63 : x
  2. Step 2: Convert to fraction form
    101,413.41/157,649.63 = 157,649.63/x
  3. Step 3: Cross multiply
    101,413.41x = 157,649.63 × 157,649.63
  4. Step 4: Simplify right side
    101,413.41x = 24,853,404,262.64
  5. Step 5: Solve for x
    x = 24,853,404,262.64/101,413.41
  6. Step 6: Final answer
    x = 245,070.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.