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Finding the Third Proportional to 62,888 and 136,688

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Solution

The third proportional to 62,888 and 136,688 is: 297,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,888 : 136,688 = 136,688 : x
  2. Step 2: Convert to fraction form
    62,888/136,688 = 136,688/x
  3. Step 3: Cross multiply
    62,888x = 136,688 × 136,688
  4. Step 4: Simplify right side
    62,888x = 18,683,609,344
  5. Step 5: Solve for x
    x = 18,683,609,344/62,888
  6. Step 6: Final answer
    x = 297,093.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.