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Finding the Third Proportional to 116,974 and 176,513

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Solution

The third proportional to 116,974 and 176,513 is: 266,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,974 : 176,513 = 176,513 : x
  2. Step 2: Convert to fraction form
    116,974/176,513 = 176,513/x
  3. Step 3: Cross multiply
    116,974x = 176,513 × 176,513
  4. Step 4: Simplify right side
    116,974x = 31,156,839,169
  5. Step 5: Solve for x
    x = 31,156,839,169/116,974
  6. Step 6: Final answer
    x = 266,356.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.