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Finding the Third Proportional to 45,994 and 99,371

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Solution

The third proportional to 45,994 and 99,371 is: 214,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,994 : 99,371 = 99,371 : x
  2. Step 2: Convert to fraction form
    45,994/99,371 = 99,371/x
  3. Step 3: Cross multiply
    45,994x = 99,371 × 99,371
  4. Step 4: Simplify right side
    45,994x = 9,874,595,641
  5. Step 5: Solve for x
    x = 9,874,595,641/45,994
  6. Step 6: Final answer
    x = 214,693.13

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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.