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Finding the Third Proportional to 45,148 and 70,182

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Solution

The third proportional to 45,148 and 70,182 is: 109,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,148 : 70,182 = 70,182 : x
  2. Step 2: Convert to fraction form
    45,148/70,182 = 70,182/x
  3. Step 3: Cross multiply
    45,148x = 70,182 × 70,182
  4. Step 4: Simplify right side
    45,148x = 4,925,513,124
  5. Step 5: Solve for x
    x = 4,925,513,124/45,148
  6. Step 6: Final answer
    x = 109,097.04

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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.