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Finding the Third Proportional to 45,590 and 97,994

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Solution

The third proportional to 45,590 and 97,994 is: 210,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,590 : 97,994 = 97,994 : x
  2. Step 2: Convert to fraction form
    45,590/97,994 = 97,994/x
  3. Step 3: Cross multiply
    45,590x = 97,994 × 97,994
  4. Step 4: Simplify right side
    45,590x = 9,602,824,036
  5. Step 5: Solve for x
    x = 9,602,824,036/45,590
  6. Step 6: Final answer
    x = 210,634.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.