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Finding the Third Proportional to 53,148.56 and 82,290.19

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Solution

The third proportional to 53,148.56 and 82,290.19 is: 127,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148.56 : 82,290.19 = 82,290.19 : x
  2. Step 2: Convert to fraction form
    53,148.56/82,290.19 = 82,290.19/x
  3. Step 3: Cross multiply
    53,148.56x = 82,290.19 × 82,290.19
  4. Step 4: Simplify right side
    53,148.56x = 6,771,674,958.79
  5. Step 5: Solve for x
    x = 6,771,674,958.79/53,148.56
  6. Step 6: Final answer
    x = 127,410.31

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