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Finding the Third Proportional to 60,688 and 133,039

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Solution

The third proportional to 60,688 and 133,039 is: 291,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,688 : 133,039 = 133,039 : x
  2. Step 2: Convert to fraction form
    60,688/133,039 = 133,039/x
  3. Step 3: Cross multiply
    60,688x = 133,039 × 133,039
  4. Step 4: Simplify right side
    60,688x = 17,699,375,521
  5. Step 5: Solve for x
    x = 17,699,375,521/60,688
  6. Step 6: Final answer
    x = 291,645.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.