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Finding the Third Proportional to 66,598.50 and 141,672

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Solution

The third proportional to 66,598.50 and 141,672 is: 301,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,598.50 : 141,672 = 141,672 : x
  2. Step 2: Convert to fraction form
    66,598.50/141,672 = 141,672/x
  3. Step 3: Cross multiply
    66,598.50x = 141,672 × 141,672
  4. Step 4: Simplify right side
    66,598.50x = 20,070,955,584
  5. Step 5: Solve for x
    x = 20,070,955,584/66,598.50
  6. Step 6: Final answer
    x = 301,372.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.