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Finding the Third Proportional to 77,460 and 169,135

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Solution

The third proportional to 77,460 and 169,135 is: 369,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,460 : 169,135 = 169,135 : x
  2. Step 2: Convert to fraction form
    77,460/169,135 = 169,135/x
  3. Step 3: Cross multiply
    77,460x = 169,135 × 169,135
  4. Step 4: Simplify right side
    77,460x = 28,606,648,225
  5. Step 5: Solve for x
    x = 28,606,648,225/77,460
  6. Step 6: Final answer
    x = 369,308.65

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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.