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Finding the Third Proportional to 124,905 and 190,482

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Solution

The third proportional to 124,905 and 190,482 is: 290,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,905 : 190,482 = 190,482 : x
  2. Step 2: Convert to fraction form
    124,905/190,482 = 190,482/x
  3. Step 3: Cross multiply
    124,905x = 190,482 × 190,482
  4. Step 4: Simplify right side
    124,905x = 36,283,392,324
  5. Step 5: Solve for x
    x = 36,283,392,324/124,905
  6. Step 6: Final answer
    x = 290,487.91

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