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Finding the Third Proportional to 73,584 and 158,928

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Solution

The third proportional to 73,584 and 158,928 is: 343,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 158,928 = 158,928 : x
  2. Step 2: Convert to fraction form
    73,584/158,928 = 158,928/x
  3. Step 3: Cross multiply
    73,584x = 158,928 × 158,928
  4. Step 4: Simplify right side
    73,584x = 25,258,109,184
  5. Step 5: Solve for x
    x = 25,258,109,184/73,584
  6. Step 6: Final answer
    x = 343,255.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.