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Finding the Third Proportional to 92,075 and 139,358

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Solution

The third proportional to 92,075 and 139,358 is: 210,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,075 : 139,358 = 139,358 : x
  2. Step 2: Convert to fraction form
    92,075/139,358 = 139,358/x
  3. Step 3: Cross multiply
    92,075x = 139,358 × 139,358
  4. Step 4: Simplify right side
    92,075x = 19,420,652,164
  5. Step 5: Solve for x
    x = 19,420,652,164/92,075
  6. Step 6: Final answer
    x = 210,922.10

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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.