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Finding the Third Proportional to 54,325.69 and 83,607.19

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Solution

The third proportional to 54,325.69 and 83,607.19 is: 128,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,325.69 : 83,607.19 = 83,607.19 : x
  2. Step 2: Convert to fraction form
    54,325.69/83,607.19 = 83,607.19/x
  3. Step 3: Cross multiply
    54,325.69x = 83,607.19 × 83,607.19
  4. Step 4: Simplify right side
    54,325.69x = 6,990,161,801.66
  5. Step 5: Solve for x
    x = 6,990,161,801.66/54,325.69
  6. Step 6: Final answer
    x = 128,671.39

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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.