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Finding the Third Proportional to 96,900 and 130,216

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Solution

The third proportional to 96,900 and 130,216 is: 174,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,900 : 130,216 = 130,216 : x
  2. Step 2: Convert to fraction form
    96,900/130,216 = 130,216/x
  3. Step 3: Cross multiply
    96,900x = 130,216 × 130,216
  4. Step 4: Simplify right side
    96,900x = 16,956,206,656
  5. Step 5: Solve for x
    x = 16,956,206,656/96,900
  6. Step 6: Final answer
    x = 174,986.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.