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Finding the Third Proportional to 67,492.50 and 147,697

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Solution

The third proportional to 67,492.50 and 147,697 is: 323,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,492.50 : 147,697 = 147,697 : x
  2. Step 2: Convert to fraction form
    67,492.50/147,697 = 147,697/x
  3. Step 3: Cross multiply
    67,492.50x = 147,697 × 147,697
  4. Step 4: Simplify right side
    67,492.50x = 21,814,403,809
  5. Step 5: Solve for x
    x = 21,814,403,809/67,492.50
  6. Step 6: Final answer
    x = 323,212.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.