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Finding the Third Proportional to 112,316 and 164,081

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Solution

The third proportional to 112,316 and 164,081 is: 239,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,316 : 164,081 = 164,081 : x
  2. Step 2: Convert to fraction form
    112,316/164,081 = 164,081/x
  3. Step 3: Cross multiply
    112,316x = 164,081 × 164,081
  4. Step 4: Simplify right side
    112,316x = 26,922,574,561
  5. Step 5: Solve for x
    x = 26,922,574,561/112,316
  6. Step 6: Final answer
    x = 239,703.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.