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Finding the Third Proportional to 98,253 and 148,313.25

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Solution

The third proportional to 98,253 and 148,313.25 is: 223,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253 : 148,313.25 = 148,313.25 : x
  2. Step 2: Convert to fraction form
    98,253/148,313.25 = 148,313.25/x
  3. Step 3: Cross multiply
    98,253x = 148,313.25 × 148,313.25
  4. Step 4: Simplify right side
    98,253x = 21,996,820,125.56
  5. Step 5: Solve for x
    x = 21,996,820,125.56/98,253
  6. Step 6: Final answer
    x = 223,879.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.