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Finding the Third Proportional to 45,042 and 70,114.50

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Solution

The third proportional to 45,042 and 70,114.50 is: 109,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 70,114.50 = 70,114.50 : x
  2. Step 2: Convert to fraction form
    45,042/70,114.50 = 70,114.50/x
  3. Step 3: Cross multiply
    45,042x = 70,114.50 × 70,114.50
  4. Step 4: Simplify right side
    45,042x = 4,916,043,110.25
  5. Step 5: Solve for x
    x = 4,916,043,110.25/45,042
  6. Step 6: Final answer
    x = 109,143.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.