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Finding the Third Proportional to 104,315 and 141,701.50

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Solution

The third proportional to 104,315 and 141,701.50 is: 192,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,315 : 141,701.50 = 141,701.50 : x
  2. Step 2: Convert to fraction form
    104,315/141,701.50 = 141,701.50/x
  3. Step 3: Cross multiply
    104,315x = 141,701.50 × 141,701.50
  4. Step 4: Simplify right side
    104,315x = 20,079,315,102.25
  5. Step 5: Solve for x
    x = 20,079,315,102.25/104,315
  6. Step 6: Final answer
    x = 192,487.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.