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Finding the Third Proportional to 125,679 and 175,804.50

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Solution

The third proportional to 125,679 and 175,804.50 is: 245,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,679 : 175,804.50 = 175,804.50 : x
  2. Step 2: Convert to fraction form
    125,679/175,804.50 = 175,804.50/x
  3. Step 3: Cross multiply
    125,679x = 175,804.50 × 175,804.50
  4. Step 4: Simplify right side
    125,679x = 30,907,222,220.25
  5. Step 5: Solve for x
    x = 30,907,222,220.25/125,679
  6. Step 6: Final answer
    x = 245,921.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.