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Finding the Third Proportional to 66,034 and 139,358

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Solution

The third proportional to 66,034 and 139,358 is: 294,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,034 : 139,358 = 139,358 : x
  2. Step 2: Convert to fraction form
    66,034/139,358 = 139,358/x
  3. Step 3: Cross multiply
    66,034x = 139,358 × 139,358
  4. Step 4: Simplify right side
    66,034x = 19,420,652,164
  5. Step 5: Solve for x
    x = 19,420,652,164/66,034
  6. Step 6: Final answer
    x = 294,100.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.