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Finding the Third Proportional to 102,824 and 153,380

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Solution

The third proportional to 102,824 and 153,380 is: 228,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,824 : 153,380 = 153,380 : x
  2. Step 2: Convert to fraction form
    102,824/153,380 = 153,380/x
  3. Step 3: Cross multiply
    102,824x = 153,380 × 153,380
  4. Step 4: Simplify right side
    102,824x = 23,525,424,400
  5. Step 5: Solve for x
    x = 23,525,424,400/102,824
  6. Step 6: Final answer
    x = 228,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.