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Finding the Third Proportional to 86,202 and 125,959.50

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Solution

The third proportional to 86,202 and 125,959.50 is: 184,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 125,959.50 = 125,959.50 : x
  2. Step 2: Convert to fraction form
    86,202/125,959.50 = 125,959.50/x
  3. Step 3: Cross multiply
    86,202x = 125,959.50 × 125,959.50
  4. Step 4: Simplify right side
    86,202x = 15,865,795,640.25
  5. Step 5: Solve for x
    x = 15,865,795,640.25/86,202
  6. Step 6: Final answer
    x = 184,053.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.