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Finding the Third Proportional to 76,507.03 and 164,085.75

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Solution

The third proportional to 76,507.03 and 164,085.75 is: 351,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.03 : 164,085.75 = 164,085.75 : x
  2. Step 2: Convert to fraction form
    76,507.03/164,085.75 = 164,085.75/x
  3. Step 3: Cross multiply
    76,507.03x = 164,085.75 × 164,085.75
  4. Step 4: Simplify right side
    76,507.03x = 26,924,133,353.06
  5. Step 5: Solve for x
    x = 26,924,133,353.06/76,507.03
  6. Step 6: Final answer
    x = 351,917.11

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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.