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Finding the Third Proportional to 77,911 and 169,492

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Solution

The third proportional to 77,911 and 169,492 is: 368,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911 : 169,492 = 169,492 : x
  2. Step 2: Convert to fraction form
    77,911/169,492 = 169,492/x
  3. Step 3: Cross multiply
    77,911x = 169,492 × 169,492
  4. Step 4: Simplify right side
    77,911x = 28,727,538,064
  5. Step 5: Solve for x
    x = 28,727,538,064/77,911
  6. Step 6: Final answer
    x = 368,722.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.