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Finding the Third Proportional to 114,719.63 and 161,262.56

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Solution

The third proportional to 114,719.63 and 161,262.56 is: 226,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,719.63 : 161,262.56 = 161,262.56 : x
  2. Step 2: Convert to fraction form
    114,719.63/161,262.56 = 161,262.56/x
  3. Step 3: Cross multiply
    114,719.63x = 161,262.56 × 161,262.56
  4. Step 4: Simplify right side
    114,719.63x = 26,005,614,064.07
  5. Step 5: Solve for x
    x = 26,005,614,064.07/114,719.63
  6. Step 6: Final answer
    x = 226,688.45

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Why These Related Problems?

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