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Finding the Third Proportional to 62,823.09 and 136,941.89

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Solution

The third proportional to 62,823.09 and 136,941.89 is: 298,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,823.09 : 136,941.89 = 136,941.89 : x
  2. Step 2: Convert to fraction form
    62,823.09/136,941.89 = 136,941.89/x
  3. Step 3: Cross multiply
    62,823.09x = 136,941.89 × 136,941.89
  4. Step 4: Simplify right side
    62,823.09x = 18,753,081,407.95
  5. Step 5: Solve for x
    x = 18,753,081,407.95/62,823.09
  6. Step 6: Final answer
    x = 298,506.17

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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.