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Finding the Third Proportional to 75,119 and 112,444

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Solution

The third proportional to 75,119 and 112,444 is: 168,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,119 : 112,444 = 112,444 : x
  2. Step 2: Convert to fraction form
    75,119/112,444 = 112,444/x
  3. Step 3: Cross multiply
    75,119x = 112,444 × 112,444
  4. Step 4: Simplify right side
    75,119x = 12,643,653,136
  5. Step 5: Solve for x
    x = 12,643,653,136/75,119
  6. Step 6: Final answer
    x = 168,314.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.