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Finding the Third Proportional to 57,570 and 121,446

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Solution

The third proportional to 57,570 and 121,446 is: 256,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570 : 121,446 = 121,446 : x
  2. Step 2: Convert to fraction form
    57,570/121,446 = 121,446/x
  3. Step 3: Cross multiply
    57,570x = 121,446 × 121,446
  4. Step 4: Simplify right side
    57,570x = 14,749,130,916
  5. Step 5: Solve for x
    x = 14,749,130,916/57,570
  6. Step 6: Final answer
    x = 256,194.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.