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Finding the Third Proportional to 43,582 and 94,076

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Solution

The third proportional to 43,582 and 94,076 is: 203,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,582 : 94,076 = 94,076 : x
  2. Step 2: Convert to fraction form
    43,582/94,076 = 94,076/x
  3. Step 3: Cross multiply
    43,582x = 94,076 × 94,076
  4. Step 4: Simplify right side
    43,582x = 8,850,293,776
  5. Step 5: Solve for x
    x = 8,850,293,776/43,582
  6. Step 6: Final answer
    x = 203,072.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.