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Finding the Third Proportional to 125,631 and 169,492.50

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Solution

The third proportional to 125,631 and 169,492.50 is: 228,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,631 : 169,492.50 = 169,492.50 : x
  2. Step 2: Convert to fraction form
    125,631/169,492.50 = 169,492.50/x
  3. Step 3: Cross multiply
    125,631x = 169,492.50 × 169,492.50
  4. Step 4: Simplify right side
    125,631x = 28,727,707,556.25
  5. Step 5: Solve for x
    x = 28,727,707,556.25/125,631
  6. Step 6: Final answer
    x = 228,667.35

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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.