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Finding the Third Proportional to 72,970.50 and 158,396

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Solution

The third proportional to 72,970.50 and 158,396 is: 343,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,970.50 : 158,396 = 158,396 : x
  2. Step 2: Convert to fraction form
    72,970.50/158,396 = 158,396/x
  3. Step 3: Cross multiply
    72,970.50x = 158,396 × 158,396
  4. Step 4: Simplify right side
    72,970.50x = 25,089,292,816
  5. Step 5: Solve for x
    x = 25,089,292,816/72,970.50
  6. Step 6: Final answer
    x = 343,827.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.