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Finding the Third Proportional to 102,368.25 and 156,813.75

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Solution

The third proportional to 102,368.25 and 156,813.75 is: 240,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368.25 : 156,813.75 = 156,813.75 : x
  2. Step 2: Convert to fraction form
    102,368.25/156,813.75 = 156,813.75/x
  3. Step 3: Cross multiply
    102,368.25x = 156,813.75 × 156,813.75
  4. Step 4: Simplify right side
    102,368.25x = 24,590,552,189.06
  5. Step 5: Solve for x
    x = 24,590,552,189.06/102,368.25
  6. Step 6: Final answer
    x = 240,216.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.