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Finding the Third Proportional to 71,738 and 105,303

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Solution

The third proportional to 71,738 and 105,303 is: 154,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738 : 105,303 = 105,303 : x
  2. Step 2: Convert to fraction form
    71,738/105,303 = 105,303/x
  3. Step 3: Cross multiply
    71,738x = 105,303 × 105,303
  4. Step 4: Simplify right side
    71,738x = 11,088,721,809
  5. Step 5: Solve for x
    x = 11,088,721,809/71,738
  6. Step 6: Final answer
    x = 154,572.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.