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Finding the Third Proportional to 132,927.75 and 291,687

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Solution

The third proportional to 132,927.75 and 291,687 is: 640,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,927.75 : 291,687 = 291,687 : x
  2. Step 2: Convert to fraction form
    132,927.75/291,687 = 291,687/x
  3. Step 3: Cross multiply
    132,927.75x = 291,687 × 291,687
  4. Step 4: Simplify right side
    132,927.75x = 85,081,305,969
  5. Step 5: Solve for x
    x = 85,081,305,969/132,927.75
  6. Step 6: Final answer
    x = 640,056.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.