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Finding the Third Proportional to 76,713.33 and 164,088.28

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Solution

The third proportional to 76,713.33 and 164,088.28 is: 350,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713.33 : 164,088.28 = 164,088.28 : x
  2. Step 2: Convert to fraction form
    76,713.33/164,088.28 = 164,088.28/x
  3. Step 3: Cross multiply
    76,713.33x = 164,088.28 × 164,088.28
  4. Step 4: Simplify right side
    76,713.33x = 26,924,964,043.58
  5. Step 5: Solve for x
    x = 26,924,964,043.58/76,713.33
  6. Step 6: Final answer
    x = 350,981.57

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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.