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Finding the Third Proportional to 100,234 and 154,130

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Solution

The third proportional to 100,234 and 154,130 is: 237,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234 : 154,130 = 154,130 : x
  2. Step 2: Convert to fraction form
    100,234/154,130 = 154,130/x
  3. Step 3: Cross multiply
    100,234x = 154,130 × 154,130
  4. Step 4: Simplify right side
    100,234x = 23,756,056,900
  5. Step 5: Solve for x
    x = 23,756,056,900/100,234
  6. Step 6: Final answer
    x = 237,005.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.