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Finding the Third Proportional to 75,075.50 and 163,219

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Solution

The third proportional to 75,075.50 and 163,219 is: 354,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,075.50 : 163,219 = 163,219 : x
  2. Step 2: Convert to fraction form
    75,075.50/163,219 = 163,219/x
  3. Step 3: Cross multiply
    75,075.50x = 163,219 × 163,219
  4. Step 4: Simplify right side
    75,075.50x = 26,640,441,961
  5. Step 5: Solve for x
    x = 26,640,441,961/75,075.50
  6. Step 6: Final answer
    x = 354,848.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.