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Finding the Third Proportional to 125,696 and 181,776

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Solution

The third proportional to 125,696 and 181,776 is: 262,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,696 : 181,776 = 181,776 : x
  2. Step 2: Convert to fraction form
    125,696/181,776 = 181,776/x
  3. Step 3: Cross multiply
    125,696x = 181,776 × 181,776
  4. Step 4: Simplify right side
    125,696x = 33,042,514,176
  5. Step 5: Solve for x
    x = 33,042,514,176/125,696
  6. Step 6: Final answer
    x = 262,876.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.