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Finding the Third Proportional to 62,565 and 136,146

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Solution

The third proportional to 62,565 and 136,146 is: 296,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,565 : 136,146 = 136,146 : x
  2. Step 2: Convert to fraction form
    62,565/136,146 = 136,146/x
  3. Step 3: Cross multiply
    62,565x = 136,146 × 136,146
  4. Step 4: Simplify right side
    62,565x = 18,535,733,316
  5. Step 5: Solve for x
    x = 18,535,733,316/62,565
  6. Step 6: Final answer
    x = 296,263.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.