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Finding the Third Proportional to 55,808 and 83,712

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Solution

The third proportional to 55,808 and 83,712 is: 125,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,808 : 83,712 = 83,712 : x
  2. Step 2: Convert to fraction form
    55,808/83,712 = 83,712/x
  3. Step 3: Cross multiply
    55,808x = 83,712 × 83,712
  4. Step 4: Simplify right side
    55,808x = 7,007,698,944
  5. Step 5: Solve for x
    x = 7,007,698,944/55,808
  6. Step 6: Final answer
    x = 125,568

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.