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Finding the Third Proportional to 102,534 and 155,168

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Solution

The third proportional to 102,534 and 155,168 is: 234,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534 : 155,168 = 155,168 : x
  2. Step 2: Convert to fraction form
    102,534/155,168 = 155,168/x
  3. Step 3: Cross multiply
    102,534x = 155,168 × 155,168
  4. Step 4: Simplify right side
    102,534x = 24,077,108,224
  5. Step 5: Solve for x
    x = 24,077,108,224/102,534
  6. Step 6: Final answer
    x = 234,820.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.