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Finding the Third Proportional to 71,900 and 105,276

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Solution

The third proportional to 71,900 and 105,276 is: 154,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900 : 105,276 = 105,276 : x
  2. Step 2: Convert to fraction form
    71,900/105,276 = 105,276/x
  3. Step 3: Cross multiply
    71,900x = 105,276 × 105,276
  4. Step 4: Simplify right side
    71,900x = 11,083,036,176
  5. Step 5: Solve for x
    x = 11,083,036,176/71,900
  6. Step 6: Final answer
    x = 154,145.15

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