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Finding the Third Proportional to 100,605 and 148,545

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Solution

The third proportional to 100,605 and 148,545 is: 219,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,605 : 148,545 = 148,545 : x
  2. Step 2: Convert to fraction form
    100,605/148,545 = 148,545/x
  3. Step 3: Cross multiply
    100,605x = 148,545 × 148,545
  4. Step 4: Simplify right side
    100,605x = 22,065,617,025
  5. Step 5: Solve for x
    x = 22,065,617,025/100,605
  6. Step 6: Final answer
    x = 219,329.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.