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Finding the Third Proportional to 124,918.03 and 178,035.19

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Solution

The third proportional to 124,918.03 and 178,035.19 is: 253,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,918.03 : 178,035.19 = 178,035.19 : x
  2. Step 2: Convert to fraction form
    124,918.03/178,035.19 = 178,035.19/x
  3. Step 3: Cross multiply
    124,918.03x = 178,035.19 × 178,035.19
  4. Step 4: Simplify right side
    124,918.03x = 31,696,527,988.16
  5. Step 5: Solve for x
    x = 31,696,527,988.16/124,918.03
  6. Step 6: Final answer
    x = 253,738.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.