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Finding the Third Proportional to 121,230 and 163,073

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Solution

The third proportional to 121,230 and 163,073 is: 219,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,230 : 163,073 = 163,073 : x
  2. Step 2: Convert to fraction form
    121,230/163,073 = 163,073/x
  3. Step 3: Cross multiply
    121,230x = 163,073 × 163,073
  4. Step 4: Simplify right side
    121,230x = 26,592,803,329
  5. Step 5: Solve for x
    x = 26,592,803,329/121,230
  6. Step 6: Final answer
    x = 219,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.