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Finding the Third Proportional to 74,929.50 and 116,013

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Solution

The third proportional to 74,929.50 and 116,013 is: 179,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,929.50 : 116,013 = 116,013 : x
  2. Step 2: Convert to fraction form
    74,929.50/116,013 = 116,013/x
  3. Step 3: Cross multiply
    74,929.50x = 116,013 × 116,013
  4. Step 4: Simplify right side
    74,929.50x = 13,459,016,169
  5. Step 5: Solve for x
    x = 13,459,016,169/74,929.50
  6. Step 6: Final answer
    x = 179,622.39

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