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Finding the Third Proportional to 77,748 and 166,844

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Solution

The third proportional to 77,748 and 166,844 is: 358,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,748 : 166,844 = 166,844 : x
  2. Step 2: Convert to fraction form
    77,748/166,844 = 166,844/x
  3. Step 3: Cross multiply
    77,748x = 166,844 × 166,844
  4. Step 4: Simplify right side
    77,748x = 27,836,920,336
  5. Step 5: Solve for x
    x = 27,836,920,336/77,748
  6. Step 6: Final answer
    x = 358,040.34

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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.