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Finding the Third Proportional to 71,478 and 104,828.75

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Solution

The third proportional to 71,478 and 104,828.75 is: 153,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478 : 104,828.75 = 104,828.75 : x
  2. Step 2: Convert to fraction form
    71,478/104,828.75 = 104,828.75/x
  3. Step 3: Cross multiply
    71,478x = 104,828.75 × 104,828.75
  4. Step 4: Simplify right side
    71,478x = 10,989,066,826.56
  5. Step 5: Solve for x
    x = 10,989,066,826.56/71,478
  6. Step 6: Final answer
    x = 153,740.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.