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Finding the Third Proportional to 74,056.13 and 105,825.75

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Solution

The third proportional to 74,056.13 and 105,825.75 is: 151,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056.13 : 105,825.75 = 105,825.75 : x
  2. Step 2: Convert to fraction form
    74,056.13/105,825.75 = 105,825.75/x
  3. Step 3: Cross multiply
    74,056.13x = 105,825.75 × 105,825.75
  4. Step 4: Simplify right side
    74,056.13x = 11,199,089,363.06
  5. Step 5: Solve for x
    x = 11,199,089,363.06/74,056.13
  6. Step 6: Final answer
    x = 151,224.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.