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Finding the Third Proportional to 54,392.63 and 84,398.63

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Solution

The third proportional to 54,392.63 and 84,398.63 is: 130,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,392.63 : 84,398.63 = 84,398.63 : x
  2. Step 2: Convert to fraction form
    54,392.63/84,398.63 = 84,398.63/x
  3. Step 3: Cross multiply
    54,392.63x = 84,398.63 × 84,398.63
  4. Step 4: Simplify right side
    54,392.63x = 7,123,127,901.89
  5. Step 5: Solve for x
    x = 7,123,127,901.89/54,392.63
  6. Step 6: Final answer
    x = 130,957.61

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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.