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Finding the Third Proportional to 53,658.75 and 105,966.75

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Solution

The third proportional to 53,658.75 and 105,966.75 is: 209,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.75 : 105,966.75 = 105,966.75 : x
  2. Step 2: Convert to fraction form
    53,658.75/105,966.75 = 105,966.75/x
  3. Step 3: Cross multiply
    53,658.75x = 105,966.75 × 105,966.75
  4. Step 4: Simplify right side
    53,658.75x = 11,228,952,105.56
  5. Step 5: Solve for x
    x = 11,228,952,105.56/53,658.75
  6. Step 6: Final answer
    x = 209,266.00

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.