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Finding the Third Proportional to 53,444.81 and 84,062.81

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Solution

The third proportional to 53,444.81 and 84,062.81 is: 132,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444.81 : 84,062.81 = 84,062.81 : x
  2. Step 2: Convert to fraction form
    53,444.81/84,062.81 = 84,062.81/x
  3. Step 3: Cross multiply
    53,444.81x = 84,062.81 × 84,062.81
  4. Step 4: Simplify right side
    53,444.81x = 7,066,556,445.41
  5. Step 5: Solve for x
    x = 7,066,556,445.41/53,444.81
  6. Step 6: Final answer
    x = 132,221.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.