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Finding the Third Proportional to 57,365 and 126,076

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Solution

The third proportional to 57,365 and 126,076 is: 277,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,365 : 126,076 = 126,076 : x
  2. Step 2: Convert to fraction form
    57,365/126,076 = 126,076/x
  3. Step 3: Cross multiply
    57,365x = 126,076 × 126,076
  4. Step 4: Simplify right side
    57,365x = 15,895,157,776
  5. Step 5: Solve for x
    x = 15,895,157,776/57,365
  6. Step 6: Final answer
    x = 277,088.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.