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Finding the Third Proportional to 121,097 and 186,755

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Solution

The third proportional to 121,097 and 186,755 is: 288,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,097 : 186,755 = 186,755 : x
  2. Step 2: Convert to fraction form
    121,097/186,755 = 186,755/x
  3. Step 3: Cross multiply
    121,097x = 186,755 × 186,755
  4. Step 4: Simplify right side
    121,097x = 34,877,430,025
  5. Step 5: Solve for x
    x = 34,877,430,025/121,097
  6. Step 6: Final answer
    x = 288,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.