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Finding the Third Proportional to 54,003 and 83,259.75

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Solution

The third proportional to 54,003 and 83,259.75 is: 128,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,003 : 83,259.75 = 83,259.75 : x
  2. Step 2: Convert to fraction form
    54,003/83,259.75 = 83,259.75/x
  3. Step 3: Cross multiply
    54,003x = 83,259.75 × 83,259.75
  4. Step 4: Simplify right side
    54,003x = 6,932,185,970.06
  5. Step 5: Solve for x
    x = 6,932,185,970.06/54,003
  6. Step 6: Final answer
    x = 128,366.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.