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Finding the Third Proportional to 45,162 and 70,328.25

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Solution

The third proportional to 45,162 and 70,328.25 is: 109,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 70,328.25 = 70,328.25 : x
  2. Step 2: Convert to fraction form
    45,162/70,328.25 = 70,328.25/x
  3. Step 3: Cross multiply
    45,162x = 70,328.25 × 70,328.25
  4. Step 4: Simplify right side
    45,162x = 4,946,062,748.06
  5. Step 5: Solve for x
    x = 4,946,062,748.06/45,162
  6. Step 6: Final answer
    x = 109,518.24

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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.