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Finding the Third Proportional to 53,273.81 and 82,712.06

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Solution

The third proportional to 53,273.81 and 82,712.06 is: 128,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,273.81 : 82,712.06 = 82,712.06 : x
  2. Step 2: Convert to fraction form
    53,273.81/82,712.06 = 82,712.06/x
  3. Step 3: Cross multiply
    53,273.81x = 82,712.06 × 82,712.06
  4. Step 4: Simplify right side
    53,273.81x = 6,841,285,283.00
  5. Step 5: Solve for x
    x = 6,841,285,283.00/53,273.81
  6. Step 6: Final answer
    x = 128,417.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.