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Finding the Third Proportional to 63,116 and 136,069

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Solution

The third proportional to 63,116 and 136,069 is: 293,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,116 : 136,069 = 136,069 : x
  2. Step 2: Convert to fraction form
    63,116/136,069 = 136,069/x
  3. Step 3: Cross multiply
    63,116x = 136,069 × 136,069
  4. Step 4: Simplify right side
    63,116x = 18,514,772,761
  5. Step 5: Solve for x
    x = 18,514,772,761/63,116
  6. Step 6: Final answer
    x = 293,345.15

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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.