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Finding the Third Proportional to 77,877 and 170,496

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Solution

The third proportional to 77,877 and 170,496 is: 373,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877 : 170,496 = 170,496 : x
  2. Step 2: Convert to fraction form
    77,877/170,496 = 170,496/x
  3. Step 3: Cross multiply
    77,877x = 170,496 × 170,496
  4. Step 4: Simplify right side
    77,877x = 29,068,886,016
  5. Step 5: Solve for x
    x = 29,068,886,016/77,877
  6. Step 6: Final answer
    x = 373,266.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.