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Finding the Third Proportional to 118,075.22 and 158,751.14

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Solution

The third proportional to 118,075.22 and 158,751.14 is: 213,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,075.22 : 158,751.14 = 158,751.14 : x
  2. Step 2: Convert to fraction form
    118,075.22/158,751.14 = 158,751.14/x
  3. Step 3: Cross multiply
    118,075.22x = 158,751.14 × 158,751.14
  4. Step 4: Simplify right side
    118,075.22x = 25,201,924,649.74
  5. Step 5: Solve for x
    x = 25,201,924,649.74/118,075.22
  6. Step 6: Final answer
    x = 213,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.