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Finding the Third Proportional to 137,100 and 291,660

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Solution

The third proportional to 137,100 and 291,660 is: 620,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,100 : 291,660 = 291,660 : x
  2. Step 2: Convert to fraction form
    137,100/291,660 = 291,660/x
  3. Step 3: Cross multiply
    137,100x = 291,660 × 291,660
  4. Step 4: Simplify right side
    137,100x = 85,065,555,600
  5. Step 5: Solve for x
    x = 85,065,555,600/137,100
  6. Step 6: Final answer
    x = 620,463.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.