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Finding the Third Proportional to 63,696 and 136,320

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Solution

The third proportional to 63,696 and 136,320 is: 291,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,696 : 136,320 = 136,320 : x
  2. Step 2: Convert to fraction form
    63,696/136,320 = 136,320/x
  3. Step 3: Cross multiply
    63,696x = 136,320 × 136,320
  4. Step 4: Simplify right side
    63,696x = 18,583,142,400
  5. Step 5: Solve for x
    x = 18,583,142,400/63,696
  6. Step 6: Final answer
    x = 291,747.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.