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Finding the Third Proportional to 89,534 and 133,053

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Solution

The third proportional to 89,534 and 133,053 is: 197,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,534 : 133,053 = 133,053 : x
  2. Step 2: Convert to fraction form
    89,534/133,053 = 133,053/x
  3. Step 3: Cross multiply
    89,534x = 133,053 × 133,053
  4. Step 4: Simplify right side
    89,534x = 17,703,100,809
  5. Step 5: Solve for x
    x = 17,703,100,809/89,534
  6. Step 6: Final answer
    x = 197,724.90

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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.