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Finding the Third Proportional to 96,752 and 227,659

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Solution

The third proportional to 96,752 and 227,659 is: 535,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,752 : 227,659 = 227,659 : x
  2. Step 2: Convert to fraction form
    96,752/227,659 = 227,659/x
  3. Step 3: Cross multiply
    96,752x = 227,659 × 227,659
  4. Step 4: Simplify right side
    96,752x = 51,828,620,281
  5. Step 5: Solve for x
    x = 51,828,620,281/96,752
  6. Step 6: Final answer
    x = 535,685.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.