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Finding the Third Proportional to 63,185 and 136,222

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Solution

The third proportional to 63,185 and 136,222 is: 293,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,185 : 136,222 = 136,222 : x
  2. Step 2: Convert to fraction form
    63,185/136,222 = 136,222/x
  3. Step 3: Cross multiply
    63,185x = 136,222 × 136,222
  4. Step 4: Simplify right side
    63,185x = 18,556,433,284
  5. Step 5: Solve for x
    x = 18,556,433,284/63,185
  6. Step 6: Final answer
    x = 293,684.15

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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.