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Finding the Third Proportional to 59,303 and 139,991

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Solution

The third proportional to 59,303 and 139,991 is: 330,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,303 : 139,991 = 139,991 : x
  2. Step 2: Convert to fraction form
    59,303/139,991 = 139,991/x
  3. Step 3: Cross multiply
    59,303x = 139,991 × 139,991
  4. Step 4: Simplify right side
    59,303x = 19,597,480,081
  5. Step 5: Solve for x
    x = 19,597,480,081/59,303
  6. Step 6: Final answer
    x = 330,463.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.