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Finding the Third Proportional to 124,960 and 178,091

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Solution

The third proportional to 124,960 and 178,091 is: 253,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,960 : 178,091 = 178,091 : x
  2. Step 2: Convert to fraction form
    124,960/178,091 = 178,091/x
  3. Step 3: Cross multiply
    124,960x = 178,091 × 178,091
  4. Step 4: Simplify right side
    124,960x = 31,716,404,281
  5. Step 5: Solve for x
    x = 31,716,404,281/124,960
  6. Step 6: Final answer
    x = 253,812.45

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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.