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Finding the Third Proportional to 63,757 and 140,095

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Solution

The third proportional to 63,757 and 140,095 is: 307,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,757 : 140,095 = 140,095 : x
  2. Step 2: Convert to fraction form
    63,757/140,095 = 140,095/x
  3. Step 3: Cross multiply
    63,757x = 140,095 × 140,095
  4. Step 4: Simplify right side
    63,757x = 19,626,609,025
  5. Step 5: Solve for x
    x = 19,626,609,025/63,757
  6. Step 6: Final answer
    x = 307,834.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.