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Finding the Third Proportional to 96,962 and 130,942

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Solution

The third proportional to 96,962 and 130,942 is: 176,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 130,942 = 130,942 : x
  2. Step 2: Convert to fraction form
    96,962/130,942 = 130,942/x
  3. Step 3: Cross multiply
    96,962x = 130,942 × 130,942
  4. Step 4: Simplify right side
    96,962x = 17,145,807,364
  5. Step 5: Solve for x
    x = 17,145,807,364/96,962
  6. Step 6: Final answer
    x = 176,830.17

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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.