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Finding the Third Proportional to 42,075 and 61,867

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Solution

The third proportional to 42,075 and 61,867 is: 90,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,075 : 61,867 = 61,867 : x
  2. Step 2: Convert to fraction form
    42,075/61,867 = 61,867/x
  3. Step 3: Cross multiply
    42,075x = 61,867 × 61,867
  4. Step 4: Simplify right side
    42,075x = 3,827,525,689
  5. Step 5: Solve for x
    x = 3,827,525,689/42,075
  6. Step 6: Final answer
    x = 90,969.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.