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Finding the Third Proportional to 102,016.50 and 153,025

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Solution

The third proportional to 102,016.50 and 153,025 is: 229,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.50 : 153,025 = 153,025 : x
  2. Step 2: Convert to fraction form
    102,016.50/153,025 = 153,025/x
  3. Step 3: Cross multiply
    102,016.50x = 153,025 × 153,025
  4. Step 4: Simplify right side
    102,016.50x = 23,416,650,625
  5. Step 5: Solve for x
    x = 23,416,650,625/102,016.50
  6. Step 6: Final answer
    x = 229,537.88

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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.