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Finding the Third Proportional to 122,463.84 and 185,541.47

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Solution

The third proportional to 122,463.84 and 185,541.47 is: 281,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,463.84 : 185,541.47 = 185,541.47 : x
  2. Step 2: Convert to fraction form
    122,463.84/185,541.47 = 185,541.47/x
  3. Step 3: Cross multiply
    122,463.84x = 185,541.47 × 185,541.47
  4. Step 4: Simplify right side
    122,463.84x = 34,425,636,625.91
  5. Step 5: Solve for x
    x = 34,425,636,625.91/122,463.84
  6. Step 6: Final answer
    x = 281,108.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.