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Finding the Third Proportional to 102,652.31 and 153,560.81

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Solution

The third proportional to 102,652.31 and 153,560.81 is: 229,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.31 : 153,560.81 = 153,560.81 : x
  2. Step 2: Convert to fraction form
    102,652.31/153,560.81 = 153,560.81/x
  3. Step 3: Cross multiply
    102,652.31x = 153,560.81 × 153,560.81
  4. Step 4: Simplify right side
    102,652.31x = 23,580,923,135.66
  5. Step 5: Solve for x
    x = 23,580,923,135.66/102,652.31
  6. Step 6: Final answer
    x = 229,716.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.