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Finding the Third Proportional to 63,833.06 and 96,638.06

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Solution

The third proportional to 63,833.06 and 96,638.06 is: 146,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,833.06 : 96,638.06 = 96,638.06 : x
  2. Step 2: Convert to fraction form
    63,833.06/96,638.06 = 96,638.06/x
  3. Step 3: Cross multiply
    63,833.06x = 96,638.06 × 96,638.06
  4. Step 4: Simplify right side
    63,833.06x = 9,338,915,123.75
  5. Step 5: Solve for x
    x = 9,338,915,123.75/63,833.06
  6. Step 6: Final answer
    x = 146,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.