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Finding the Third Proportional to 103,984 and 156,904

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Solution

The third proportional to 103,984 and 156,904 is: 236,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 156,904 = 156,904 : x
  2. Step 2: Convert to fraction form
    103,984/156,904 = 156,904/x
  3. Step 3: Cross multiply
    103,984x = 156,904 × 156,904
  4. Step 4: Simplify right side
    103,984x = 24,618,865,216
  5. Step 5: Solve for x
    x = 24,618,865,216/103,984
  6. Step 6: Final answer
    x = 236,756.28

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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.