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Finding the Third Proportional to 73,500 and 114,090

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Solution

The third proportional to 73,500 and 114,090 is: 177,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,500 : 114,090 = 114,090 : x
  2. Step 2: Convert to fraction form
    73,500/114,090 = 114,090/x
  3. Step 3: Cross multiply
    73,500x = 114,090 × 114,090
  4. Step 4: Simplify right side
    73,500x = 13,016,528,100
  5. Step 5: Solve for x
    x = 13,016,528,100/73,500
  6. Step 6: Final answer
    x = 177,095.62

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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.