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Finding the Third Proportional to 114,747.75 and 161,303.63

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Solution

The third proportional to 114,747.75 and 161,303.63 is: 226,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,747.75 : 161,303.63 = 161,303.63 : x
  2. Step 2: Convert to fraction form
    114,747.75/161,303.63 = 161,303.63/x
  3. Step 3: Cross multiply
    114,747.75x = 161,303.63 × 161,303.63
  4. Step 4: Simplify right side
    114,747.75x = 26,018,859,438.14
  5. Step 5: Solve for x
    x = 26,018,859,438.14/114,747.75
  6. Step 6: Final answer
    x = 226,748.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.