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Finding the Third Proportional to 56,734.50 and 77,089

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Solution

The third proportional to 56,734.50 and 77,089 is: 104,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734.50 : 77,089 = 77,089 : x
  2. Step 2: Convert to fraction form
    56,734.50/77,089 = 77,089/x
  3. Step 3: Cross multiply
    56,734.50x = 77,089 × 77,089
  4. Step 4: Simplify right side
    56,734.50x = 5,942,713,921
  5. Step 5: Solve for x
    x = 5,942,713,921/56,734.50
  6. Step 6: Final answer
    x = 104,746.03

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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.