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Finding the Third Proportional to 118,956 and 175,146

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Solution

The third proportional to 118,956 and 175,146 is: 257,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,956 : 175,146 = 175,146 : x
  2. Step 2: Convert to fraction form
    118,956/175,146 = 175,146/x
  3. Step 3: Cross multiply
    118,956x = 175,146 × 175,146
  4. Step 4: Simplify right side
    118,956x = 30,676,121,316
  5. Step 5: Solve for x
    x = 30,676,121,316/118,956
  6. Step 6: Final answer
    x = 257,877.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.