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Finding the Third Proportional to 96,801.75 and 145,243.13

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Solution

The third proportional to 96,801.75 and 145,243.13 is: 217,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,801.75 : 145,243.13 = 145,243.13 : x
  2. Step 2: Convert to fraction form
    96,801.75/145,243.13 = 145,243.13/x
  3. Step 3: Cross multiply
    96,801.75x = 145,243.13 × 145,243.13
  4. Step 4: Simplify right side
    96,801.75x = 21,095,565,359.77
  5. Step 5: Solve for x
    x = 21,095,565,359.77/96,801.75
  6. Step 6: Final answer
    x = 217,925.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.