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Finding the Third Proportional to 98,765 and 149,007

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Solution

The third proportional to 98,765 and 149,007 is: 224,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,765 : 149,007 = 149,007 : x
  2. Step 2: Convert to fraction form
    98,765/149,007 = 149,007/x
  3. Step 3: Cross multiply
    98,765x = 149,007 × 149,007
  4. Step 4: Simplify right side
    98,765x = 22,203,086,049
  5. Step 5: Solve for x
    x = 22,203,086,049/98,765
  6. Step 6: Final answer
    x = 224,807.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.