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Finding the Third Proportional to 124,707.94 and 193,495.50

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Solution

The third proportional to 124,707.94 and 193,495.50 is: 300,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,707.94 : 193,495.50 = 193,495.50 : x
  2. Step 2: Convert to fraction form
    124,707.94/193,495.50 = 193,495.50/x
  3. Step 3: Cross multiply
    124,707.94x = 193,495.50 × 193,495.50
  4. Step 4: Simplify right side
    124,707.94x = 37,440,508,520.25
  5. Step 5: Solve for x
    x = 37,440,508,520.25/124,707.94
  6. Step 6: Final answer
    x = 300,225.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.