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Finding the Third Proportional to 74,998.50 and 116,280

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Solution

The third proportional to 74,998.50 and 116,280 is: 180,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,998.50 : 116,280 = 116,280 : x
  2. Step 2: Convert to fraction form
    74,998.50/116,280 = 116,280/x
  3. Step 3: Cross multiply
    74,998.50x = 116,280 × 116,280
  4. Step 4: Simplify right side
    74,998.50x = 13,521,038,400
  5. Step 5: Solve for x
    x = 13,521,038,400/74,998.50
  6. Step 6: Final answer
    x = 180,284.12

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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.