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Finding the Third Proportional to 96,896 and 130,210

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Solution

The third proportional to 96,896 and 130,210 is: 174,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,896 : 130,210 = 130,210 : x
  2. Step 2: Convert to fraction form
    96,896/130,210 = 130,210/x
  3. Step 3: Cross multiply
    96,896x = 130,210 × 130,210
  4. Step 4: Simplify right side
    96,896x = 16,954,644,100
  5. Step 5: Solve for x
    x = 16,954,644,100/96,896
  6. Step 6: Final answer
    x = 174,977.75

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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.