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Finding the Third Proportional to 103,512 and 156,820.50

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Solution

The third proportional to 103,512 and 156,820.50 is: 237,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512 : 156,820.50 = 156,820.50 : x
  2. Step 2: Convert to fraction form
    103,512/156,820.50 = 156,820.50/x
  3. Step 3: Cross multiply
    103,512x = 156,820.50 × 156,820.50
  4. Step 4: Simplify right side
    103,512x = 24,592,669,220.25
  5. Step 5: Solve for x
    x = 24,592,669,220.25/103,512
  6. Step 6: Final answer
    x = 237,582.78

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