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Finding the Third Proportional to 114,719 and 161,261.50

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Solution

The third proportional to 114,719 and 161,261.50 is: 226,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,719 : 161,261.50 = 161,261.50 : x
  2. Step 2: Convert to fraction form
    114,719/161,261.50 = 161,261.50/x
  3. Step 3: Cross multiply
    114,719x = 161,261.50 × 161,261.50
  4. Step 4: Simplify right side
    114,719x = 26,005,271,382.25
  5. Step 5: Solve for x
    x = 26,005,271,382.25/114,719
  6. Step 6: Final answer
    x = 226,686.70

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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.