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Finding the Third Proportional to 75,003 and 116,086.50

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Solution

The third proportional to 75,003 and 116,086.50 is: 179,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,003 : 116,086.50 = 116,086.50 : x
  2. Step 2: Convert to fraction form
    75,003/116,086.50 = 116,086.50/x
  3. Step 3: Cross multiply
    75,003x = 116,086.50 × 116,086.50
  4. Step 4: Simplify right side
    75,003x = 13,476,075,482.25
  5. Step 5: Solve for x
    x = 13,476,075,482.25/75,003
  6. Step 6: Final answer
    x = 179,673.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.