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Finding the Third Proportional to 53,366 and 83,712

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Solution

The third proportional to 53,366 and 83,712 is: 131,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,366 : 83,712 = 83,712 : x
  2. Step 2: Convert to fraction form
    53,366/83,712 = 83,712/x
  3. Step 3: Cross multiply
    53,366x = 83,712 × 83,712
  4. Step 4: Simplify right side
    53,366x = 7,007,698,944
  5. Step 5: Solve for x
    x = 7,007,698,944/53,366
  6. Step 6: Final answer
    x = 131,313.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.