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Finding the Third Proportional to 77,352 and 169,638

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Solution

The third proportional to 77,352 and 169,638 is: 372,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 169,638 = 169,638 : x
  2. Step 2: Convert to fraction form
    77,352/169,638 = 169,638/x
  3. Step 3: Cross multiply
    77,352x = 169,638 × 169,638
  4. Step 4: Simplify right side
    77,352x = 28,777,051,044
  5. Step 5: Solve for x
    x = 28,777,051,044/77,352
  6. Step 6: Final answer
    x = 372,027.24

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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.