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Finding the Third Proportional to 128,833 and 194,663

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Solution

The third proportional to 128,833 and 194,663 is: 294,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833 : 194,663 = 194,663 : x
  2. Step 2: Convert to fraction form
    128,833/194,663 = 194,663/x
  3. Step 3: Cross multiply
    128,833x = 194,663 × 194,663
  4. Step 4: Simplify right side
    128,833x = 37,893,683,569
  5. Step 5: Solve for x
    x = 37,893,683,569/128,833
  6. Step 6: Final answer
    x = 294,130.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.