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Finding the Third Proportional to 84,290.63 and 126,208.13

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Solution

The third proportional to 84,290.63 and 126,208.13 is: 188,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290.63 : 126,208.13 = 126,208.13 : x
  2. Step 2: Convert to fraction form
    84,290.63/126,208.13 = 126,208.13/x
  3. Step 3: Cross multiply
    84,290.63x = 126,208.13 × 126,208.13
  4. Step 4: Simplify right side
    84,290.63x = 15,928,490,816.02
  5. Step 5: Solve for x
    x = 15,928,490,816.02/84,290.63
  6. Step 6: Final answer
    x = 188,971.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.