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Finding the Third Proportional to 66,697.50 and 157,443

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Solution

The third proportional to 66,697.50 and 157,443 is: 371,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,697.50 : 157,443 = 157,443 : x
  2. Step 2: Convert to fraction form
    66,697.50/157,443 = 157,443/x
  3. Step 3: Cross multiply
    66,697.50x = 157,443 × 157,443
  4. Step 4: Simplify right side
    66,697.50x = 24,788,298,249
  5. Step 5: Solve for x
    x = 24,788,298,249/66,697.50
  6. Step 6: Final answer
    x = 371,652.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.