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Finding the Third Proportional to 63,212 and 136,386

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Solution

The third proportional to 63,212 and 136,386 is: 294,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 136,386 = 136,386 : x
  2. Step 2: Convert to fraction form
    63,212/136,386 = 136,386/x
  3. Step 3: Cross multiply
    63,212x = 136,386 × 136,386
  4. Step 4: Simplify right side
    63,212x = 18,601,140,996
  5. Step 5: Solve for x
    x = 18,601,140,996/63,212
  6. Step 6: Final answer
    x = 294,265.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.