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Finding the Third Proportional to 89,403.75 and 132,009.75

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Solution

The third proportional to 89,403.75 and 132,009.75 is: 194,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,403.75 : 132,009.75 = 132,009.75 : x
  2. Step 2: Convert to fraction form
    89,403.75/132,009.75 = 132,009.75/x
  3. Step 3: Cross multiply
    89,403.75x = 132,009.75 × 132,009.75
  4. Step 4: Simplify right side
    89,403.75x = 17,426,574,095.06
  5. Step 5: Solve for x
    x = 17,426,574,095.06/89,403.75
  6. Step 6: Final answer
    x = 194,919.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.