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Finding the Third Proportional to 77,154 and 168,726

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Solution

The third proportional to 77,154 and 168,726 is: 368,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154 : 168,726 = 168,726 : x
  2. Step 2: Convert to fraction form
    77,154/168,726 = 168,726/x
  3. Step 3: Cross multiply
    77,154x = 168,726 × 168,726
  4. Step 4: Simplify right side
    77,154x = 28,468,463,076
  5. Step 5: Solve for x
    x = 28,468,463,076/77,154
  6. Step 6: Final answer
    x = 368,982.34

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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.