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Finding the Third Proportional to 86,113.88 and 125,768.63

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Solution

The third proportional to 86,113.88 and 125,768.63 is: 183,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,113.88 : 125,768.63 = 125,768.63 : x
  2. Step 2: Convert to fraction form
    86,113.88/125,768.63 = 125,768.63/x
  3. Step 3: Cross multiply
    86,113.88x = 125,768.63 × 125,768.63
  4. Step 4: Simplify right side
    86,113.88x = 15,817,747,034.39
  5. Step 5: Solve for x
    x = 15,817,747,034.39/86,113.88
  6. Step 6: Final answer
    x = 183,684.07

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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.