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Finding the Third Proportional to 66,058 and 143,780

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Solution

The third proportional to 66,058 and 143,780 is: 312,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,058 : 143,780 = 143,780 : x
  2. Step 2: Convert to fraction form
    66,058/143,780 = 143,780/x
  3. Step 3: Cross multiply
    66,058x = 143,780 × 143,780
  4. Step 4: Simplify right side
    66,058x = 20,672,688,400
  5. Step 5: Solve for x
    x = 20,672,688,400/66,058
  6. Step 6: Final answer
    x = 312,947.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.