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Finding the Third Proportional to 54,357 and 83,156.63

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Solution

The third proportional to 54,357 and 83,156.63 is: 127,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,357 : 83,156.63 = 83,156.63 : x
  2. Step 2: Convert to fraction form
    54,357/83,156.63 = 83,156.63/x
  3. Step 3: Cross multiply
    54,357x = 83,156.63 × 83,156.63
  4. Step 4: Simplify right side
    54,357x = 6,915,024,281.39
  5. Step 5: Solve for x
    x = 6,915,024,281.39/54,357
  6. Step 6: Final answer
    x = 127,214.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.