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Finding the Third Proportional to 63,297 and 135,066

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Solution

The third proportional to 63,297 and 135,066 is: 288,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,297 : 135,066 = 135,066 : x
  2. Step 2: Convert to fraction form
    63,297/135,066 = 135,066/x
  3. Step 3: Cross multiply
    63,297x = 135,066 × 135,066
  4. Step 4: Simplify right side
    63,297x = 18,242,824,356
  5. Step 5: Solve for x
    x = 18,242,824,356/63,297
  6. Step 6: Final answer
    x = 288,209.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.