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Finding the Third Proportional to 107,146 and 234,716

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Solution

The third proportional to 107,146 and 234,716 is: 514,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146 : 234,716 = 234,716 : x
  2. Step 2: Convert to fraction form
    107,146/234,716 = 234,716/x
  3. Step 3: Cross multiply
    107,146x = 234,716 × 234,716
  4. Step 4: Simplify right side
    107,146x = 55,091,600,656
  5. Step 5: Solve for x
    x = 55,091,600,656/107,146
  6. Step 6: Final answer
    x = 514,173.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.