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Finding the Third Proportional to 114,321 and 163,073

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Solution

The third proportional to 114,321 and 163,073 is: 232,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,321 : 163,073 = 163,073 : x
  2. Step 2: Convert to fraction form
    114,321/163,073 = 163,073/x
  3. Step 3: Cross multiply
    114,321x = 163,073 × 163,073
  4. Step 4: Simplify right side
    114,321x = 26,592,803,329
  5. Step 5: Solve for x
    x = 26,592,803,329/114,321
  6. Step 6: Final answer
    x = 232,615.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.