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Finding the Third Proportional to 74,053.50 and 105,820.50

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Solution

The third proportional to 74,053.50 and 105,820.50 is: 151,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,053.50 : 105,820.50 = 105,820.50 : x
  2. Step 2: Convert to fraction form
    74,053.50/105,820.50 = 105,820.50/x
  3. Step 3: Cross multiply
    74,053.50x = 105,820.50 × 105,820.50
  4. Step 4: Simplify right side
    74,053.50x = 11,197,978,220.25
  5. Step 5: Solve for x
    x = 11,197,978,220.25/74,053.50
  6. Step 6: Final answer
    x = 151,214.71

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