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Finding the Third Proportional to 107,527.50 and 242,802.56

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Solution

The third proportional to 107,527.50 and 242,802.56 is: 548,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,527.50 : 242,802.56 = 242,802.56 : x
  2. Step 2: Convert to fraction form
    107,527.50/242,802.56 = 242,802.56/x
  3. Step 3: Cross multiply
    107,527.50x = 242,802.56 × 242,802.56
  4. Step 4: Simplify right side
    107,527.50x = 58,953,084,356.57
  5. Step 5: Solve for x
    x = 58,953,084,356.57/107,527.50
  6. Step 6: Final answer
    x = 548,260.53

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.