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Finding the Third Proportional to 122,943 and 195,491.25

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Solution

The third proportional to 122,943 and 195,491.25 is: 310,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,943 : 195,491.25 = 195,491.25 : x
  2. Step 2: Convert to fraction form
    122,943/195,491.25 = 195,491.25/x
  3. Step 3: Cross multiply
    122,943x = 195,491.25 × 195,491.25
  4. Step 4: Simplify right side
    122,943x = 38,216,828,826.56
  5. Step 5: Solve for x
    x = 38,216,828,826.56/122,943
  6. Step 6: Final answer
    x = 310,849.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.