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Finding the Third Proportional to 77,421 and 169,596

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Solution

The third proportional to 77,421 and 169,596 is: 371,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421 : 169,596 = 169,596 : x
  2. Step 2: Convert to fraction form
    77,421/169,596 = 169,596/x
  3. Step 3: Cross multiply
    77,421x = 169,596 × 169,596
  4. Step 4: Simplify right side
    77,421x = 28,762,803,216
  5. Step 5: Solve for x
    x = 28,762,803,216/77,421
  6. Step 6: Final answer
    x = 371,511.65

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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.