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Finding the Third Proportional to 54,300.94 and 84,078.84

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Solution

The third proportional to 54,300.94 and 84,078.84 is: 130,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,300.94 : 84,078.84 = 84,078.84 : x
  2. Step 2: Convert to fraction form
    54,300.94/84,078.84 = 84,078.84/x
  3. Step 3: Cross multiply
    54,300.94x = 84,078.84 × 84,078.84
  4. Step 4: Simplify right side
    54,300.94x = 7,069,251,966.34
  5. Step 5: Solve for x
    x = 7,069,251,966.34/54,300.94
  6. Step 6: Final answer
    x = 130,186.55

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Why These Related Problems?

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