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Finding the Third Proportional to 74,035 and 105,514.50

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Solution

The third proportional to 74,035 and 105,514.50 is: 150,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,035 : 105,514.50 = 105,514.50 : x
  2. Step 2: Convert to fraction form
    74,035/105,514.50 = 105,514.50/x
  3. Step 3: Cross multiply
    74,035x = 105,514.50 × 105,514.50
  4. Step 4: Simplify right side
    74,035x = 11,133,309,710.25
  5. Step 5: Solve for x
    x = 11,133,309,710.25/74,035
  6. Step 6: Final answer
    x = 150,379.01

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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.