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Finding the Third Proportional to 124,051.50 and 196,688.25

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Solution

The third proportional to 124,051.50 and 196,688.25 is: 311,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,051.50 : 196,688.25 = 196,688.25 : x
  2. Step 2: Convert to fraction form
    124,051.50/196,688.25 = 196,688.25/x
  3. Step 3: Cross multiply
    124,051.50x = 196,688.25 × 196,688.25
  4. Step 4: Simplify right side
    124,051.50x = 38,686,267,688.06
  5. Step 5: Solve for x
    x = 38,686,267,688.06/124,051.50
  6. Step 6: Final answer
    x = 311,856.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.