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Finding the Third Proportional to 63,362 and 136,084

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Solution

The third proportional to 63,362 and 136,084 is: 292,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,362 : 136,084 = 136,084 : x
  2. Step 2: Convert to fraction form
    63,362/136,084 = 136,084/x
  3. Step 3: Cross multiply
    63,362x = 136,084 × 136,084
  4. Step 4: Simplify right side
    63,362x = 18,518,855,056
  5. Step 5: Solve for x
    x = 18,518,855,056/63,362
  6. Step 6: Final answer
    x = 292,270.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.