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Finding the Third Proportional to 100,739 and 148,324

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Solution

The third proportional to 100,739 and 148,324 is: 218,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,739 : 148,324 = 148,324 : x
  2. Step 2: Convert to fraction form
    100,739/148,324 = 148,324/x
  3. Step 3: Cross multiply
    100,739x = 148,324 × 148,324
  4. Step 4: Simplify right side
    100,739x = 22,000,008,976
  5. Step 5: Solve for x
    x = 22,000,008,976/100,739
  6. Step 6: Final answer
    x = 218,386.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.