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Finding the Third Proportional to 57,621 and 119,841

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Solution

The third proportional to 57,621 and 119,841 is: 249,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,621 : 119,841 = 119,841 : x
  2. Step 2: Convert to fraction form
    57,621/119,841 = 119,841/x
  3. Step 3: Cross multiply
    57,621x = 119,841 × 119,841
  4. Step 4: Simplify right side
    57,621x = 14,361,865,281
  5. Step 5: Solve for x
    x = 14,361,865,281/57,621
  6. Step 6: Final answer
    x = 249,247.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.