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Finding the Third Proportional to 137,746 and 201,900

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Solution

The third proportional to 137,746 and 201,900 is: 295,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,746 : 201,900 = 201,900 : x
  2. Step 2: Convert to fraction form
    137,746/201,900 = 201,900/x
  3. Step 3: Cross multiply
    137,746x = 201,900 × 201,900
  4. Step 4: Simplify right side
    137,746x = 40,763,610,000
  5. Step 5: Solve for x
    x = 40,763,610,000/137,746
  6. Step 6: Final answer
    x = 295,933.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.