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Finding the Third Proportional to 96,936 and 130,937

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Solution

The third proportional to 96,936 and 130,937 is: 176,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936 : 130,937 = 130,937 : x
  2. Step 2: Convert to fraction form
    96,936/130,937 = 130,937/x
  3. Step 3: Cross multiply
    96,936x = 130,937 × 130,937
  4. Step 4: Simplify right side
    96,936x = 17,144,497,969
  5. Step 5: Solve for x
    x = 17,144,497,969/96,936
  6. Step 6: Final answer
    x = 176,864.10

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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.