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Finding the Third Proportional to 57,411 and 121,773

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Solution

The third proportional to 57,411 and 121,773 is: 258,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411 : 121,773 = 121,773 : x
  2. Step 2: Convert to fraction form
    57,411/121,773 = 121,773/x
  3. Step 3: Cross multiply
    57,411x = 121,773 × 121,773
  4. Step 4: Simplify right side
    57,411x = 14,828,663,529
  5. Step 5: Solve for x
    x = 14,828,663,529/57,411
  6. Step 6: Final answer
    x = 258,289.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.