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Finding the Third Proportional to 73,498.50 and 107,410.50

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Solution

The third proportional to 73,498.50 and 107,410.50 is: 156,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,498.50 : 107,410.50 = 107,410.50 : x
  2. Step 2: Convert to fraction form
    73,498.50/107,410.50 = 107,410.50/x
  3. Step 3: Cross multiply
    73,498.50x = 107,410.50 × 107,410.50
  4. Step 4: Simplify right side
    73,498.50x = 11,537,015,510.25
  5. Step 5: Solve for x
    x = 11,537,015,510.25/73,498.50
  6. Step 6: Final answer
    x = 156,969.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.