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Finding the Third Proportional to 71,886.50 and 156,369

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Solution

The third proportional to 71,886.50 and 156,369 is: 340,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.50 : 156,369 = 156,369 : x
  2. Step 2: Convert to fraction form
    71,886.50/156,369 = 156,369/x
  3. Step 3: Cross multiply
    71,886.50x = 156,369 × 156,369
  4. Step 4: Simplify right side
    71,886.50x = 24,451,264,161
  5. Step 5: Solve for x
    x = 24,451,264,161/71,886.50
  6. Step 6: Final answer
    x = 340,137.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.