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Finding the Third Proportional to 45,042 and 70,656.75

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Solution

The third proportional to 45,042 and 70,656.75 is: 110,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 70,656.75 = 70,656.75 : x
  2. Step 2: Convert to fraction form
    45,042/70,656.75 = 70,656.75/x
  3. Step 3: Cross multiply
    45,042x = 70,656.75 × 70,656.75
  4. Step 4: Simplify right side
    45,042x = 4,992,376,320.56
  5. Step 5: Solve for x
    x = 4,992,376,320.56/45,042
  6. Step 6: Final answer
    x = 110,838.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.