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Finding the Third Proportional to 85,370.84 and 125,288.33

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Solution

The third proportional to 85,370.84 and 125,288.33 is: 183,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370.84 : 125,288.33 = 125,288.33 : x
  2. Step 2: Convert to fraction form
    85,370.84/125,288.33 = 125,288.33/x
  3. Step 3: Cross multiply
    85,370.84x = 125,288.33 × 125,288.33
  4. Step 4: Simplify right side
    85,370.84x = 15,697,166,143.17
  5. Step 5: Solve for x
    x = 15,697,166,143.17/85,370.84
  6. Step 6: Final answer
    x = 183,870.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.