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Finding the Third Proportional to 82,154 and 124,770

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Solution

The third proportional to 82,154 and 124,770 is: 189,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 124,770 = 124,770 : x
  2. Step 2: Convert to fraction form
    82,154/124,770 = 124,770/x
  3. Step 3: Cross multiply
    82,154x = 124,770 × 124,770
  4. Step 4: Simplify right side
    82,154x = 15,567,552,900
  5. Step 5: Solve for x
    x = 15,567,552,900/82,154
  6. Step 6: Final answer
    x = 189,492.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.