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Finding the Third Proportional to 62,971.17 and 136,087.59

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Solution

The third proportional to 62,971.17 and 136,087.59 is: 294,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,971.17 : 136,087.59 = 136,087.59 : x
  2. Step 2: Convert to fraction form
    62,971.17/136,087.59 = 136,087.59/x
  3. Step 3: Cross multiply
    62,971.17x = 136,087.59 × 136,087.59
  4. Step 4: Simplify right side
    62,971.17x = 18,519,833,172.67
  5. Step 5: Solve for x
    x = 18,519,833,172.67/62,971.17
  6. Step 6: Final answer
    x = 294,100.18

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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.