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Finding the Third Proportional to 72,054 and 158,412

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Solution

The third proportional to 72,054 and 158,412 is: 348,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,054 : 158,412 = 158,412 : x
  2. Step 2: Convert to fraction form
    72,054/158,412 = 158,412/x
  3. Step 3: Cross multiply
    72,054x = 158,412 × 158,412
  4. Step 4: Simplify right side
    72,054x = 25,094,361,744
  5. Step 5: Solve for x
    x = 25,094,361,744/72,054
  6. Step 6: Final answer
    x = 348,271.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.