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Finding the Third Proportional to 61,060.50 and 133,137

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Solution

The third proportional to 61,060.50 and 133,137 is: 290,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,060.50 : 133,137 = 133,137 : x
  2. Step 2: Convert to fraction form
    61,060.50/133,137 = 133,137/x
  3. Step 3: Cross multiply
    61,060.50x = 133,137 × 133,137
  4. Step 4: Simplify right side
    61,060.50x = 17,725,460,769
  5. Step 5: Solve for x
    x = 17,725,460,769/61,060.50
  6. Step 6: Final answer
    x = 290,293.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.