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Finding the Third Proportional to 124,768.50 and 265,110

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Solution

The third proportional to 124,768.50 and 265,110 is: 563,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,768.50 : 265,110 = 265,110 : x
  2. Step 2: Convert to fraction form
    124,768.50/265,110 = 265,110/x
  3. Step 3: Cross multiply
    124,768.50x = 265,110 × 265,110
  4. Step 4: Simplify right side
    124,768.50x = 70,283,312,100
  5. Step 5: Solve for x
    x = 70,283,312,100/124,768.50
  6. Step 6: Final answer
    x = 563,309.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.