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Finding the Third Proportional to 92,820 and 144,774

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Solution

The third proportional to 92,820 and 144,774 is: 225,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,820 : 144,774 = 144,774 : x
  2. Step 2: Convert to fraction form
    92,820/144,774 = 144,774/x
  3. Step 3: Cross multiply
    92,820x = 144,774 × 144,774
  4. Step 4: Simplify right side
    92,820x = 20,959,511,076
  5. Step 5: Solve for x
    x = 20,959,511,076/92,820
  6. Step 6: Final answer
    x = 225,808.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.