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Finding the Third Proportional to 77,095 and 168,160

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Solution

The third proportional to 77,095 and 168,160 is: 366,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,095 : 168,160 = 168,160 : x
  2. Step 2: Convert to fraction form
    77,095/168,160 = 168,160/x
  3. Step 3: Cross multiply
    77,095x = 168,160 × 168,160
  4. Step 4: Simplify right side
    77,095x = 28,277,785,600
  5. Step 5: Solve for x
    x = 28,277,785,600/77,095
  6. Step 6: Final answer
    x = 366,791.43

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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.