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Finding the Third Proportional to 96,752 and 149,443

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Solution

The third proportional to 96,752 and 149,443 is: 230,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,752 : 149,443 = 149,443 : x
  2. Step 2: Convert to fraction form
    96,752/149,443 = 149,443/x
  3. Step 3: Cross multiply
    96,752x = 149,443 × 149,443
  4. Step 4: Simplify right side
    96,752x = 22,333,210,249
  5. Step 5: Solve for x
    x = 22,333,210,249/96,752
  6. Step 6: Final answer
    x = 230,829.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.