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Finding the Third Proportional to 124,889 and 190,442

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Solution

The third proportional to 124,889 and 190,442 is: 290,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,889 : 190,442 = 190,442 : x
  2. Step 2: Convert to fraction form
    124,889/190,442 = 190,442/x
  3. Step 3: Cross multiply
    124,889x = 190,442 × 190,442
  4. Step 4: Simplify right side
    124,889x = 36,268,155,364
  5. Step 5: Solve for x
    x = 36,268,155,364/124,889
  6. Step 6: Final answer
    x = 290,403.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.