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Finding the Third Proportional to 114,913 and 160,729

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Solution

The third proportional to 114,913 and 160,729 is: 224,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,913 : 160,729 = 160,729 : x
  2. Step 2: Convert to fraction form
    114,913/160,729 = 160,729/x
  3. Step 3: Cross multiply
    114,913x = 160,729 × 160,729
  4. Step 4: Simplify right side
    114,913x = 25,833,811,441
  5. Step 5: Solve for x
    x = 25,833,811,441/114,913
  6. Step 6: Final answer
    x = 224,811.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.