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Finding the Third Proportional to 118,963 and 175,156

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Solution

The third proportional to 118,963 and 175,156 is: 257,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963 : 175,156 = 175,156 : x
  2. Step 2: Convert to fraction form
    118,963/175,156 = 175,156/x
  3. Step 3: Cross multiply
    118,963x = 175,156 × 175,156
  4. Step 4: Simplify right side
    118,963x = 30,679,624,336
  5. Step 5: Solve for x
    x = 30,679,624,336/118,963
  6. Step 6: Final answer
    x = 257,892.15

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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.