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Finding the Third Proportional to 96,252 and 148,752

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Solution

The third proportional to 96,252 and 148,752 is: 229,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,252 : 148,752 = 148,752 : x
  2. Step 2: Convert to fraction form
    96,252/148,752 = 148,752/x
  3. Step 3: Cross multiply
    96,252x = 148,752 × 148,752
  4. Step 4: Simplify right side
    96,252x = 22,127,157,504
  5. Step 5: Solve for x
    x = 22,127,157,504/96,252
  6. Step 6: Final answer
    x = 229,887.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.