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Finding the Third Proportional to 96,060.75 and 208,732.50

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Solution

The third proportional to 96,060.75 and 208,732.50 is: 453,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,060.75 : 208,732.50 = 208,732.50 : x
  2. Step 2: Convert to fraction form
    96,060.75/208,732.50 = 208,732.50/x
  3. Step 3: Cross multiply
    96,060.75x = 208,732.50 × 208,732.50
  4. Step 4: Simplify right side
    96,060.75x = 43,569,256,556.25
  5. Step 5: Solve for x
    x = 43,569,256,556.25/96,060.75
  6. Step 6: Final answer
    x = 453,559.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.