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Finding the Third Proportional to 77,016 and 165,492

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Solution

The third proportional to 77,016 and 165,492 is: 355,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,016 : 165,492 = 165,492 : x
  2. Step 2: Convert to fraction form
    77,016/165,492 = 165,492/x
  3. Step 3: Cross multiply
    77,016x = 165,492 × 165,492
  4. Step 4: Simplify right side
    77,016x = 27,387,602,064
  5. Step 5: Solve for x
    x = 27,387,602,064/77,016
  6. Step 6: Final answer
    x = 355,609.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.