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Finding the Third Proportional to 75,022.88 and 105,516

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Solution

The third proportional to 75,022.88 and 105,516 is: 148,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022.88 : 105,516 = 105,516 : x
  2. Step 2: Convert to fraction form
    75,022.88/105,516 = 105,516/x
  3. Step 3: Cross multiply
    75,022.88x = 105,516 × 105,516
  4. Step 4: Simplify right side
    75,022.88x = 11,133,626,256
  5. Step 5: Solve for x
    x = 11,133,626,256/75,022.88
  6. Step 6: Final answer
    x = 148,403.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.