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Finding the Third Proportional to 124,429 and 188,947

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Solution

The third proportional to 124,429 and 188,947 is: 286,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,429 : 188,947 = 188,947 : x
  2. Step 2: Convert to fraction form
    124,429/188,947 = 188,947/x
  3. Step 3: Cross multiply
    124,429x = 188,947 × 188,947
  4. Step 4: Simplify right side
    124,429x = 35,700,968,809
  5. Step 5: Solve for x
    x = 35,700,968,809/124,429
  6. Step 6: Final answer
    x = 286,918.39

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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.