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Finding the Third Proportional to 124,302 and 190,065

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Solution

The third proportional to 124,302 and 190,065 is: 290,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,302 : 190,065 = 190,065 : x
  2. Step 2: Convert to fraction form
    124,302/190,065 = 190,065/x
  3. Step 3: Cross multiply
    124,302x = 190,065 × 190,065
  4. Step 4: Simplify right side
    124,302x = 36,124,704,225
  5. Step 5: Solve for x
    x = 36,124,704,225/124,302
  6. Step 6: Final answer
    x = 290,620.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.