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Finding the Third Proportional to 72,352 and 107,984

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Solution

The third proportional to 72,352 and 107,984 is: 161,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,352 : 107,984 = 107,984 : x
  2. Step 2: Convert to fraction form
    72,352/107,984 = 107,984/x
  3. Step 3: Cross multiply
    72,352x = 107,984 × 107,984
  4. Step 4: Simplify right side
    72,352x = 11,660,544,256
  5. Step 5: Solve for x
    x = 11,660,544,256/72,352
  6. Step 6: Final answer
    x = 161,164.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.