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Finding the Third Proportional to 45,372 and 70,096.50

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Solution

The third proportional to 45,372 and 70,096.50 is: 108,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,372 : 70,096.50 = 70,096.50 : x
  2. Step 2: Convert to fraction form
    45,372/70,096.50 = 70,096.50/x
  3. Step 3: Cross multiply
    45,372x = 70,096.50 × 70,096.50
  4. Step 4: Simplify right side
    45,372x = 4,913,519,312.25
  5. Step 5: Solve for x
    x = 4,913,519,312.25/45,372
  6. Step 6: Final answer
    x = 108,294.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.