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Finding the Third Proportional to 74,064.56 and 164,144.06

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Solution

The third proportional to 74,064.56 and 164,144.06 is: 363,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064.56 : 164,144.06 = 164,144.06 : x
  2. Step 2: Convert to fraction form
    74,064.56/164,144.06 = 164,144.06/x
  3. Step 3: Cross multiply
    74,064.56x = 164,144.06 × 164,144.06
  4. Step 4: Simplify right side
    74,064.56x = 26,943,273,254.00
  5. Step 5: Solve for x
    x = 26,943,273,254.00/74,064.56
  6. Step 6: Final answer
    x = 363,780.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.