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Finding the Third Proportional to 76,696 and 164,053

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Solution

The third proportional to 76,696 and 164,053 is: 350,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696 : 164,053 = 164,053 : x
  2. Step 2: Convert to fraction form
    76,696/164,053 = 164,053/x
  3. Step 3: Cross multiply
    76,696x = 164,053 × 164,053
  4. Step 4: Simplify right side
    76,696x = 26,913,386,809
  5. Step 5: Solve for x
    x = 26,913,386,809/76,696
  6. Step 6: Final answer
    x = 350,909.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.