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Finding the Third Proportional to 139,117.50 and 200,961

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Solution

The third proportional to 139,117.50 and 200,961 is: 290,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,117.50 : 200,961 = 200,961 : x
  2. Step 2: Convert to fraction form
    139,117.50/200,961 = 200,961/x
  3. Step 3: Cross multiply
    139,117.50x = 200,961 × 200,961
  4. Step 4: Simplify right side
    139,117.50x = 40,385,323,521
  5. Step 5: Solve for x
    x = 40,385,323,521/139,117.50
  6. Step 6: Final answer
    x = 290,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.