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Finding the Third Proportional to 62,566 and 136,148

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Solution

The third proportional to 62,566 and 136,148 is: 296,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,566 : 136,148 = 136,148 : x
  2. Step 2: Convert to fraction form
    62,566/136,148 = 136,148/x
  3. Step 3: Cross multiply
    62,566x = 136,148 × 136,148
  4. Step 4: Simplify right side
    62,566x = 18,536,277,904
  5. Step 5: Solve for x
    x = 18,536,277,904/62,566
  6. Step 6: Final answer
    x = 296,267.59

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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.