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Finding the Third Proportional to 60,674 and 91,859

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Solution

The third proportional to 60,674 and 91,859 is: 139,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,674 : 91,859 = 91,859 : x
  2. Step 2: Convert to fraction form
    60,674/91,859 = 91,859/x
  3. Step 3: Cross multiply
    60,674x = 91,859 × 91,859
  4. Step 4: Simplify right side
    60,674x = 8,438,075,881
  5. Step 5: Solve for x
    x = 8,438,075,881/60,674
  6. Step 6: Final answer
    x = 139,072.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.