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Finding the Third Proportional to 60,894.28 and 132,826.08

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Solution

The third proportional to 60,894.28 and 132,826.08 is: 289,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,894.28 : 132,826.08 = 132,826.08 : x
  2. Step 2: Convert to fraction form
    60,894.28/132,826.08 = 132,826.08/x
  3. Step 3: Cross multiply
    60,894.28x = 132,826.08 × 132,826.08
  4. Step 4: Simplify right side
    60,894.28x = 17,642,767,030.07
  5. Step 5: Solve for x
    x = 17,642,767,030.07/60,894.28
  6. Step 6: Final answer
    x = 289,727.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.