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Finding the Third Proportional to 139,614 and 187,273.50

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Solution

The third proportional to 139,614 and 187,273.50 is: 251,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,614 : 187,273.50 = 187,273.50 : x
  2. Step 2: Convert to fraction form
    139,614/187,273.50 = 187,273.50/x
  3. Step 3: Cross multiply
    139,614x = 187,273.50 × 187,273.50
  4. Step 4: Simplify right side
    139,614x = 35,071,363,802.25
  5. Step 5: Solve for x
    x = 35,071,363,802.25/139,614
  6. Step 6: Final answer
    x = 251,202.34

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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.