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Finding the Third Proportional to 73,085.63 and 159,840

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Solution

The third proportional to 73,085.63 and 159,840 is: 349,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,085.63 : 159,840 = 159,840 : x
  2. Step 2: Convert to fraction form
    73,085.63/159,840 = 159,840/x
  3. Step 3: Cross multiply
    73,085.63x = 159,840 × 159,840
  4. Step 4: Simplify right side
    73,085.63x = 25,548,825,600
  5. Step 5: Solve for x
    x = 25,548,825,600/73,085.63
  6. Step 6: Final answer
    x = 349,573.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.