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Finding the Third Proportional to 67,946 and 148,232

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Solution

The third proportional to 67,946 and 148,232 is: 323,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,946 : 148,232 = 148,232 : x
  2. Step 2: Convert to fraction form
    67,946/148,232 = 148,232/x
  3. Step 3: Cross multiply
    67,946x = 148,232 × 148,232
  4. Step 4: Simplify right side
    67,946x = 21,972,725,824
  5. Step 5: Solve for x
    x = 21,972,725,824/67,946
  6. Step 6: Final answer
    x = 323,385.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.