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Finding the Third Proportional to 96,938 and 130,941

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Solution

The third proportional to 96,938 and 130,941 is: 176,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,938 : 130,941 = 130,941 : x
  2. Step 2: Convert to fraction form
    96,938/130,941 = 130,941/x
  3. Step 3: Cross multiply
    96,938x = 130,941 × 130,941
  4. Step 4: Simplify right side
    96,938x = 17,145,545,481
  5. Step 5: Solve for x
    x = 17,145,545,481/96,938
  6. Step 6: Final answer
    x = 176,871.25

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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.