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Finding the Third Proportional to 45,844 and 70,128.50

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Solution

The third proportional to 45,844 and 70,128.50 is: 107,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,844 : 70,128.50 = 70,128.50 : x
  2. Step 2: Convert to fraction form
    45,844/70,128.50 = 70,128.50/x
  3. Step 3: Cross multiply
    45,844x = 70,128.50 × 70,128.50
  4. Step 4: Simplify right side
    45,844x = 4,918,006,512.25
  5. Step 5: Solve for x
    x = 4,918,006,512.25/45,844
  6. Step 6: Final answer
    x = 107,276.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.