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Finding the Third Proportional to 124,054.50 and 151,270.50

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Solution

The third proportional to 124,054.50 and 151,270.50 is: 184,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,054.50 : 151,270.50 = 151,270.50 : x
  2. Step 2: Convert to fraction form
    124,054.50/151,270.50 = 151,270.50/x
  3. Step 3: Cross multiply
    124,054.50x = 151,270.50 × 151,270.50
  4. Step 4: Simplify right side
    124,054.50x = 22,882,764,170.25
  5. Step 5: Solve for x
    x = 22,882,764,170.25/124,054.50
  6. Step 6: Final answer
    x = 184,457.35

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.