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Finding the Third Proportional to 124,212 and 197,009.50

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Solution

The third proportional to 124,212 and 197,009.50 is: 312,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,212 : 197,009.50 = 197,009.50 : x
  2. Step 2: Convert to fraction form
    124,212/197,009.50 = 197,009.50/x
  3. Step 3: Cross multiply
    124,212x = 197,009.50 × 197,009.50
  4. Step 4: Simplify right side
    124,212x = 38,812,743,090.25
  5. Step 5: Solve for x
    x = 38,812,743,090.25/124,212
  6. Step 6: Final answer
    x = 312,471.77

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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.