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Finding the Third Proportional to 102,620 and 153,520

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Solution

The third proportional to 102,620 and 153,520 is: 229,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,620 : 153,520 = 153,520 : x
  2. Step 2: Convert to fraction form
    102,620/153,520 = 153,520/x
  3. Step 3: Cross multiply
    102,620x = 153,520 × 153,520
  4. Step 4: Simplify right side
    102,620x = 23,568,390,400
  5. Step 5: Solve for x
    x = 23,568,390,400/102,620
  6. Step 6: Final answer
    x = 229,666.64

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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.