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Finding the Third Proportional to 102,013 and 153,020

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Solution

The third proportional to 102,013 and 153,020 is: 229,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013 : 153,020 = 153,020 : x
  2. Step 2: Convert to fraction form
    102,013/153,020 = 153,020/x
  3. Step 3: Cross multiply
    102,013x = 153,020 × 153,020
  4. Step 4: Simplify right side
    102,013x = 23,415,120,400
  5. Step 5: Solve for x
    x = 23,415,120,400/102,013
  6. Step 6: Final answer
    x = 229,530.75

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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.