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Finding the Third Proportional to 61,688 and 133,186

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Solution

The third proportional to 61,688 and 133,186 is: 287,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,688 : 133,186 = 133,186 : x
  2. Step 2: Convert to fraction form
    61,688/133,186 = 133,186/x
  3. Step 3: Cross multiply
    61,688x = 133,186 × 133,186
  4. Step 4: Simplify right side
    61,688x = 17,738,510,596
  5. Step 5: Solve for x
    x = 17,738,510,596/61,688
  6. Step 6: Final answer
    x = 287,552.05

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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.