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Finding the Third Proportional to 83,501.06 and 125,965.36

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Solution

The third proportional to 83,501.06 and 125,965.36 is: 190,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.06 : 125,965.36 = 125,965.36 : x
  2. Step 2: Convert to fraction form
    83,501.06/125,965.36 = 125,965.36/x
  3. Step 3: Cross multiply
    83,501.06x = 125,965.36 × 125,965.36
  4. Step 4: Simplify right side
    83,501.06x = 15,867,271,762.47
  5. Step 5: Solve for x
    x = 15,867,271,762.47/83,501.06
  6. Step 6: Final answer
    x = 190,024.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.