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Finding the Third Proportional to 35,102 and 75,739.50

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Solution

The third proportional to 35,102 and 75,739.50 is: 163,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102 : 75,739.50 = 75,739.50 : x
  2. Step 2: Convert to fraction form
    35,102/75,739.50 = 75,739.50/x
  3. Step 3: Cross multiply
    35,102x = 75,739.50 × 75,739.50
  4. Step 4: Simplify right side
    35,102x = 5,736,471,860.25
  5. Step 5: Solve for x
    x = 5,736,471,860.25/35,102
  6. Step 6: Final answer
    x = 163,422.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.