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Finding the Third Proportional to 45,689 and 70,316

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Solution

The third proportional to 45,689 and 70,316 is: 108,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689 : 70,316 = 70,316 : x
  2. Step 2: Convert to fraction form
    45,689/70,316 = 70,316/x
  3. Step 3: Cross multiply
    45,689x = 70,316 × 70,316
  4. Step 4: Simplify right side
    45,689x = 4,944,339,856
  5. Step 5: Solve for x
    x = 4,944,339,856/45,689
  6. Step 6: Final answer
    x = 108,217.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.