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Finding the Third Proportional to 92,454 and 143,436

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Solution

The third proportional to 92,454 and 143,436 is: 222,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454 : 143,436 = 143,436 : x
  2. Step 2: Convert to fraction form
    92,454/143,436 = 143,436/x
  3. Step 3: Cross multiply
    92,454x = 143,436 × 143,436
  4. Step 4: Simplify right side
    92,454x = 20,573,886,096
  5. Step 5: Solve for x
    x = 20,573,886,096/92,454
  6. Step 6: Final answer
    x = 222,531.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.