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Finding the Third Proportional to 128,972 and 197,164

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Solution

The third proportional to 128,972 and 197,164 is: 301,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,972 : 197,164 = 197,164 : x
  2. Step 2: Convert to fraction form
    128,972/197,164 = 197,164/x
  3. Step 3: Cross multiply
    128,972x = 197,164 × 197,164
  4. Step 4: Simplify right side
    128,972x = 38,873,642,896
  5. Step 5: Solve for x
    x = 38,873,642,896/128,972
  6. Step 6: Final answer
    x = 301,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.