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Finding the Third Proportional to 42,075 and 92,901

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Solution

The third proportional to 42,075 and 92,901 is: 205,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,075 : 92,901 = 92,901 : x
  2. Step 2: Convert to fraction form
    42,075/92,901 = 92,901/x
  3. Step 3: Cross multiply
    42,075x = 92,901 × 92,901
  4. Step 4: Simplify right side
    42,075x = 8,630,595,801
  5. Step 5: Solve for x
    x = 8,630,595,801/42,075
  6. Step 6: Final answer
    x = 205,124.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.