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Finding the Third Proportional to 30,149 and 65,487

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Solution

The third proportional to 30,149 and 65,487 is: 142,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 65,487 = 65,487 : x
  2. Step 2: Convert to fraction form
    30,149/65,487 = 65,487/x
  3. Step 3: Cross multiply
    30,149x = 65,487 × 65,487
  4. Step 4: Simplify right side
    30,149x = 4,288,547,169
  5. Step 5: Solve for x
    x = 4,288,547,169/30,149
  6. Step 6: Final answer
    x = 142,245.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.