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Finding the Third Proportional to 114,957 and 158,749.50

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Solution

The third proportional to 114,957 and 158,749.50 is: 219,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,957 : 158,749.50 = 158,749.50 : x
  2. Step 2: Convert to fraction form
    114,957/158,749.50 = 158,749.50/x
  3. Step 3: Cross multiply
    114,957x = 158,749.50 × 158,749.50
  4. Step 4: Simplify right side
    114,957x = 25,201,403,750.25
  5. Step 5: Solve for x
    x = 25,201,403,750.25/114,957
  6. Step 6: Final answer
    x = 219,224.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.