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Finding the Third Proportional to 90,075 and 195,534

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Solution

The third proportional to 90,075 and 195,534 is: 424,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,075 : 195,534 = 195,534 : x
  2. Step 2: Convert to fraction form
    90,075/195,534 = 195,534/x
  3. Step 3: Cross multiply
    90,075x = 195,534 × 195,534
  4. Step 4: Simplify right side
    90,075x = 38,233,545,156
  5. Step 5: Solve for x
    x = 38,233,545,156/90,075
  6. Step 6: Final answer
    x = 424,463.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.