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Finding the Third Proportional to 138,528 and 207,954

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Solution

The third proportional to 138,528 and 207,954 is: 312,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,528 : 207,954 = 207,954 : x
  2. Step 2: Convert to fraction form
    138,528/207,954 = 207,954/x
  3. Step 3: Cross multiply
    138,528x = 207,954 × 207,954
  4. Step 4: Simplify right side
    138,528x = 43,244,866,116
  5. Step 5: Solve for x
    x = 43,244,866,116/138,528
  6. Step 6: Final answer
    x = 312,174.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.