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Finding the Third Proportional to 74,091 and 114,897

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Solution

The third proportional to 74,091 and 114,897 is: 178,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,091 : 114,897 = 114,897 : x
  2. Step 2: Convert to fraction form
    74,091/114,897 = 114,897/x
  3. Step 3: Cross multiply
    74,091x = 114,897 × 114,897
  4. Step 4: Simplify right side
    74,091x = 13,201,320,609
  5. Step 5: Solve for x
    x = 13,201,320,609/74,091
  6. Step 6: Final answer
    x = 178,177.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.