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Finding the Third Proportional to 77,787 and 163,413

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Solution

The third proportional to 77,787 and 163,413 is: 343,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 163,413 = 163,413 : x
  2. Step 2: Convert to fraction form
    77,787/163,413 = 163,413/x
  3. Step 3: Cross multiply
    77,787x = 163,413 × 163,413
  4. Step 4: Simplify right side
    77,787x = 26,703,808,569
  5. Step 5: Solve for x
    x = 26,703,808,569/77,787
  6. Step 6: Final answer
    x = 343,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.