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Finding the Third Proportional to 103,578.19 and 156,768.19

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Solution

The third proportional to 103,578.19 and 156,768.19 is: 237,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578.19 : 156,768.19 = 156,768.19 : x
  2. Step 2: Convert to fraction form
    103,578.19/156,768.19 = 156,768.19/x
  3. Step 3: Cross multiply
    103,578.19x = 156,768.19 × 156,768.19
  4. Step 4: Simplify right side
    103,578.19x = 24,576,264,612.04
  5. Step 5: Solve for x
    x = 24,576,264,612.04/103,578.19
  6. Step 6: Final answer
    x = 237,272.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.