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Finding the Third Proportional to 93,539.81 and 126,413.16

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Solution

The third proportional to 93,539.81 and 126,413.16 is: 170,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,539.81 : 126,413.16 = 126,413.16 : x
  2. Step 2: Convert to fraction form
    93,539.81/126,413.16 = 126,413.16/x
  3. Step 3: Cross multiply
    93,539.81x = 126,413.16 × 126,413.16
  4. Step 4: Simplify right side
    93,539.81x = 15,980,286,073.09
  5. Step 5: Solve for x
    x = 15,980,286,073.09/93,539.81
  6. Step 6: Final answer
    x = 170,839.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.