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Finding the Third Proportional to 45,126.75 and 70,158

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Solution

The third proportional to 45,126.75 and 70,158 is: 109,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,126.75 : 70,158 = 70,158 : x
  2. Step 2: Convert to fraction form
    45,126.75/70,158 = 70,158/x
  3. Step 3: Cross multiply
    45,126.75x = 70,158 × 70,158
  4. Step 4: Simplify right side
    45,126.75x = 4,922,144,964
  5. Step 5: Solve for x
    x = 4,922,144,964/45,126.75
  6. Step 6: Final answer
    x = 109,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.