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Finding the Third Proportional to 72,116 and 154,196

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Solution

The third proportional to 72,116 and 154,196 is: 329,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,116 : 154,196 = 154,196 : x
  2. Step 2: Convert to fraction form
    72,116/154,196 = 154,196/x
  3. Step 3: Cross multiply
    72,116x = 154,196 × 154,196
  4. Step 4: Simplify right side
    72,116x = 23,776,406,416
  5. Step 5: Solve for x
    x = 23,776,406,416/72,116
  6. Step 6: Final answer
    x = 329,696.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.