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Finding the Third Proportional to 53,513.16 and 83,333.81

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Solution

The third proportional to 53,513.16 and 83,333.81 is: 129,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.16 : 83,333.81 = 83,333.81 : x
  2. Step 2: Convert to fraction form
    53,513.16/83,333.81 = 83,333.81/x
  3. Step 3: Cross multiply
    53,513.16x = 83,333.81 × 83,333.81
  4. Step 4: Simplify right side
    53,513.16x = 6,944,524,305.79
  5. Step 5: Solve for x
    x = 6,944,524,305.79/53,513.16
  6. Step 6: Final answer
    x = 129,772.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.