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Finding the Third Proportional to 103,774.50 and 156,615.75

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Solution

The third proportional to 103,774.50 and 156,615.75 is: 236,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,774.50 : 156,615.75 = 156,615.75 : x
  2. Step 2: Convert to fraction form
    103,774.50/156,615.75 = 156,615.75/x
  3. Step 3: Cross multiply
    103,774.50x = 156,615.75 × 156,615.75
  4. Step 4: Simplify right side
    103,774.50x = 24,528,493,148.06
  5. Step 5: Solve for x
    x = 24,528,493,148.06/103,774.50
  6. Step 6: Final answer
    x = 236,363.40

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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.