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Finding the Third Proportional to 45,091.13 and 70,365.94

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Solution

The third proportional to 45,091.13 and 70,365.94 is: 109,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,091.13 : 70,365.94 = 70,365.94 : x
  2. Step 2: Convert to fraction form
    45,091.13/70,365.94 = 70,365.94/x
  3. Step 3: Cross multiply
    45,091.13x = 70,365.94 × 70,365.94
  4. Step 4: Simplify right side
    45,091.13x = 4,951,365,160.25
  5. Step 5: Solve for x
    x = 4,951,365,160.25/45,091.13
  6. Step 6: Final answer
    x = 109,807.98

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Why These Related Problems?

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