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Finding the Third Proportional to 92,322 and 144,640

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Solution

The third proportional to 92,322 and 144,640 is: 226,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322 : 144,640 = 144,640 : x
  2. Step 2: Convert to fraction form
    92,322/144,640 = 144,640/x
  3. Step 3: Cross multiply
    92,322x = 144,640 × 144,640
  4. Step 4: Simplify right side
    92,322x = 20,920,729,600
  5. Step 5: Solve for x
    x = 20,920,729,600/92,322
  6. Step 6: Final answer
    x = 226,606.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.