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Finding the Third Proportional to 103,824 and 156,432

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Solution

The third proportional to 103,824 and 156,432 is: 235,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 156,432 = 156,432 : x
  2. Step 2: Convert to fraction form
    103,824/156,432 = 156,432/x
  3. Step 3: Cross multiply
    103,824x = 156,432 × 156,432
  4. Step 4: Simplify right side
    103,824x = 24,470,970,624
  5. Step 5: Solve for x
    x = 24,470,970,624/103,824
  6. Step 6: Final answer
    x = 235,696.67

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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.