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Finding the Third Proportional to 43,076 and 91,362

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Solution

The third proportional to 43,076 and 91,362 is: 193,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076 : 91,362 = 91,362 : x
  2. Step 2: Convert to fraction form
    43,076/91,362 = 91,362/x
  3. Step 3: Cross multiply
    43,076x = 91,362 × 91,362
  4. Step 4: Simplify right side
    43,076x = 8,347,015,044
  5. Step 5: Solve for x
    x = 8,347,015,044/43,076
  6. Step 6: Final answer
    x = 193,774.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.