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Finding the Third Proportional to 74,062 and 105,835

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Solution

The third proportional to 74,062 and 105,835 is: 151,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,062 : 105,835 = 105,835 : x
  2. Step 2: Convert to fraction form
    74,062/105,835 = 105,835/x
  3. Step 3: Cross multiply
    74,062x = 105,835 × 105,835
  4. Step 4: Simplify right side
    74,062x = 11,201,047,225
  5. Step 5: Solve for x
    x = 11,201,047,225/74,062
  6. Step 6: Final answer
    x = 151,238.79

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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.