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Finding the Third Proportional to 111,984 and 161,352

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Solution

The third proportional to 111,984 and 161,352 is: 232,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,984 : 161,352 = 161,352 : x
  2. Step 2: Convert to fraction form
    111,984/161,352 = 161,352/x
  3. Step 3: Cross multiply
    111,984x = 161,352 × 161,352
  4. Step 4: Simplify right side
    111,984x = 26,034,467,904
  5. Step 5: Solve for x
    x = 26,034,467,904/111,984
  6. Step 6: Final answer
    x = 232,483.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.