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Finding the Third Proportional to 66,602 and 139,324

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Solution

The third proportional to 66,602 and 139,324 is: 291,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602 : 139,324 = 139,324 : x
  2. Step 2: Convert to fraction form
    66,602/139,324 = 139,324/x
  3. Step 3: Cross multiply
    66,602x = 139,324 × 139,324
  4. Step 4: Simplify right side
    66,602x = 19,411,176,976
  5. Step 5: Solve for x
    x = 19,411,176,976/66,602
  6. Step 6: Final answer
    x = 291,450.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.