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Finding the Third Proportional to 96,038 and 128,498

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Solution

The third proportional to 96,038 and 128,498 is: 171,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,038 : 128,498 = 128,498 : x
  2. Step 2: Convert to fraction form
    96,038/128,498 = 128,498/x
  3. Step 3: Cross multiply
    96,038x = 128,498 × 128,498
  4. Step 4: Simplify right side
    96,038x = 16,511,736,004
  5. Step 5: Solve for x
    x = 16,511,736,004/96,038
  6. Step 6: Final answer
    x = 171,929.19

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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.