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Finding the Third Proportional to 100,130 and 187,648

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Solution

The third proportional to 100,130 and 187,648 is: 351,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,130 : 187,648 = 187,648 : x
  2. Step 2: Convert to fraction form
    100,130/187,648 = 187,648/x
  3. Step 3: Cross multiply
    100,130x = 187,648 × 187,648
  4. Step 4: Simplify right side
    100,130x = 35,211,771,904
  5. Step 5: Solve for x
    x = 35,211,771,904/100,130
  6. Step 6: Final answer
    x = 351,660.56

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.