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Finding the Third Proportional to 97,919.63 and 132,116.63

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Solution

The third proportional to 97,919.63 and 132,116.63 is: 178,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,919.63 : 132,116.63 = 132,116.63 : x
  2. Step 2: Convert to fraction form
    97,919.63/132,116.63 = 132,116.63/x
  3. Step 3: Cross multiply
    97,919.63x = 132,116.63 × 132,116.63
  4. Step 4: Simplify right side
    97,919.63x = 17,454,802,601.39
  5. Step 5: Solve for x
    x = 17,454,802,601.39/97,919.63
  6. Step 6: Final answer
    x = 178,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.