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Finding the Third Proportional to 137,942 and 185,371

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Solution

The third proportional to 137,942 and 185,371 is: 249,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942 : 185,371 = 185,371 : x
  2. Step 2: Convert to fraction form
    137,942/185,371 = 185,371/x
  3. Step 3: Cross multiply
    137,942x = 185,371 × 185,371
  4. Step 4: Simplify right side
    137,942x = 34,362,407,641
  5. Step 5: Solve for x
    x = 34,362,407,641/137,942
  6. Step 6: Final answer
    x = 249,107.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.