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Finding the Third Proportional to 54,783 and 83,646

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Solution

The third proportional to 54,783 and 83,646 is: 127,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783 : 83,646 = 83,646 : x
  2. Step 2: Convert to fraction form
    54,783/83,646 = 83,646/x
  3. Step 3: Cross multiply
    54,783x = 83,646 × 83,646
  4. Step 4: Simplify right side
    54,783x = 6,996,653,316
  5. Step 5: Solve for x
    x = 6,996,653,316/54,783
  6. Step 6: Final answer
    x = 127,715.78

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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.