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Finding the Third Proportional to 53,191.69 and 70,976.25

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Solution

The third proportional to 53,191.69 and 70,976.25 is: 94,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,191.69 : 70,976.25 = 70,976.25 : x
  2. Step 2: Convert to fraction form
    53,191.69/70,976.25 = 70,976.25/x
  3. Step 3: Cross multiply
    53,191.69x = 70,976.25 × 70,976.25
  4. Step 4: Simplify right side
    53,191.69x = 5,037,628,064.06
  5. Step 5: Solve for x
    x = 5,037,628,064.06/53,191.69
  6. Step 6: Final answer
    x = 94,707.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.