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Finding the Third Proportional to 72,858.50 and 157,196

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Solution

The third proportional to 72,858.50 and 157,196 is: 339,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,858.50 : 157,196 = 157,196 : x
  2. Step 2: Convert to fraction form
    72,858.50/157,196 = 157,196/x
  3. Step 3: Cross multiply
    72,858.50x = 157,196 × 157,196
  4. Step 4: Simplify right side
    72,858.50x = 24,710,582,416
  5. Step 5: Solve for x
    x = 24,710,582,416/72,858.50
  6. Step 6: Final answer
    x = 339,158.54

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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.