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Finding the Third Proportional to 66,123.42 and 100,734.05

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Solution

The third proportional to 66,123.42 and 100,734.05 is: 153,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123.42 : 100,734.05 = 100,734.05 : x
  2. Step 2: Convert to fraction form
    66,123.42/100,734.05 = 100,734.05/x
  3. Step 3: Cross multiply
    66,123.42x = 100,734.05 × 100,734.05
  4. Step 4: Simplify right side
    66,123.42x = 10,147,348,199.81
  5. Step 5: Solve for x
    x = 10,147,348,199.81/66,123.42
  6. Step 6: Final answer
    x = 153,460.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.