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Finding the Third Proportional to 74,044 and 117,764

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Solution

The third proportional to 74,044 and 117,764 is: 187,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,044 : 117,764 = 117,764 : x
  2. Step 2: Convert to fraction form
    74,044/117,764 = 117,764/x
  3. Step 3: Cross multiply
    74,044x = 117,764 × 117,764
  4. Step 4: Simplify right side
    74,044x = 13,868,359,696
  5. Step 5: Solve for x
    x = 13,868,359,696/74,044
  6. Step 6: Final answer
    x = 187,298.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.