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Finding the Third Proportional to 63,146 and 136,130

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Solution

The third proportional to 63,146 and 136,130 is: 293,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,146 : 136,130 = 136,130 : x
  2. Step 2: Convert to fraction form
    63,146/136,130 = 136,130/x
  3. Step 3: Cross multiply
    63,146x = 136,130 × 136,130
  4. Step 4: Simplify right side
    63,146x = 18,531,376,900
  5. Step 5: Solve for x
    x = 18,531,376,900/63,146
  6. Step 6: Final answer
    x = 293,468.74

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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.