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Finding the Third Proportional to 74,438 and 101,083

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Solution

The third proportional to 74,438 and 101,083 is: 137,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,438 : 101,083 = 101,083 : x
  2. Step 2: Convert to fraction form
    74,438/101,083 = 101,083/x
  3. Step 3: Cross multiply
    74,438x = 101,083 × 101,083
  4. Step 4: Simplify right side
    74,438x = 10,217,772,889
  5. Step 5: Solve for x
    x = 10,217,772,889/74,438
  6. Step 6: Final answer
    x = 137,265.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.