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Finding the Third Proportional to 77,346 and 169,636

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Solution

The third proportional to 77,346 and 169,636 is: 372,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,346 : 169,636 = 169,636 : x
  2. Step 2: Convert to fraction form
    77,346/169,636 = 169,636/x
  3. Step 3: Cross multiply
    77,346x = 169,636 × 169,636
  4. Step 4: Simplify right side
    77,346x = 28,776,372,496
  5. Step 5: Solve for x
    x = 28,776,372,496/77,346
  6. Step 6: Final answer
    x = 372,047.33

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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.