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Finding the Third Proportional to 73,075.22 and 157,028.63

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Solution

The third proportional to 73,075.22 and 157,028.63 is: 337,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,075.22 : 157,028.63 = 157,028.63 : x
  2. Step 2: Convert to fraction form
    73,075.22/157,028.63 = 157,028.63/x
  3. Step 3: Cross multiply
    73,075.22x = 157,028.63 × 157,028.63
  4. Step 4: Simplify right side
    73,075.22x = 24,657,989,069.39
  5. Step 5: Solve for x
    x = 24,657,989,069.39/73,075.22
  6. Step 6: Final answer
    x = 337,432.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.