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Finding the Third Proportional to 59,994 and 127,371

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Solution

The third proportional to 59,994 and 127,371 is: 270,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,994 : 127,371 = 127,371 : x
  2. Step 2: Convert to fraction form
    59,994/127,371 = 127,371/x
  3. Step 3: Cross multiply
    59,994x = 127,371 × 127,371
  4. Step 4: Simplify right side
    59,994x = 16,223,371,641
  5. Step 5: Solve for x
    x = 16,223,371,641/59,994
  6. Step 6: Final answer
    x = 270,416.57

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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.