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Finding the Third Proportional to 96,525 and 147,659.63

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Solution

The third proportional to 96,525 and 147,659.63 is: 225,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,525 : 147,659.63 = 147,659.63 : x
  2. Step 2: Convert to fraction form
    96,525/147,659.63 = 147,659.63/x
  3. Step 3: Cross multiply
    96,525x = 147,659.63 × 147,659.63
  4. Step 4: Simplify right side
    96,525x = 21,803,364,855.14
  5. Step 5: Solve for x
    x = 21,803,364,855.14/96,525
  6. Step 6: Final answer
    x = 225,883.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.