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Finding the Third Proportional to 71,712 and 105,028

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Solution

The third proportional to 71,712 and 105,028 is: 153,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712 : 105,028 = 105,028 : x
  2. Step 2: Convert to fraction form
    71,712/105,028 = 105,028/x
  3. Step 3: Cross multiply
    71,712x = 105,028 × 105,028
  4. Step 4: Simplify right side
    71,712x = 11,030,880,784
  5. Step 5: Solve for x
    x = 11,030,880,784/71,712
  6. Step 6: Final answer
    x = 153,821.97

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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.