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Finding the Third Proportional to 50,906 and 109,346

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Solution

The third proportional to 50,906 and 109,346 is: 234,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906 : 109,346 = 109,346 : x
  2. Step 2: Convert to fraction form
    50,906/109,346 = 109,346/x
  3. Step 3: Cross multiply
    50,906x = 109,346 × 109,346
  4. Step 4: Simplify right side
    50,906x = 11,956,547,716
  5. Step 5: Solve for x
    x = 11,956,547,716/50,906
  6. Step 6: Final answer
    x = 234,875.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.