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Finding the Third Proportional to 96,036.75 and 104,648.06

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Solution

The third proportional to 96,036.75 and 104,648.06 is: 114,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,036.75 : 104,648.06 = 104,648.06 : x
  2. Step 2: Convert to fraction form
    96,036.75/104,648.06 = 104,648.06/x
  3. Step 3: Cross multiply
    96,036.75x = 104,648.06 × 104,648.06
  4. Step 4: Simplify right side
    96,036.75x = 10,951,216,985.00
  5. Step 5: Solve for x
    x = 10,951,216,985.00/96,036.75
  6. Step 6: Final answer
    x = 114,031.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.