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Finding the Third Proportional to 45,297 and 96,075.75

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Solution

The third proportional to 45,297 and 96,075.75 is: 203,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,297 : 96,075.75 = 96,075.75 : x
  2. Step 2: Convert to fraction form
    45,297/96,075.75 = 96,075.75/x
  3. Step 3: Cross multiply
    45,297x = 96,075.75 × 96,075.75
  4. Step 4: Simplify right side
    45,297x = 9,230,549,738.06
  5. Step 5: Solve for x
    x = 9,230,549,738.06/45,297
  6. Step 6: Final answer
    x = 203,778.39

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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.