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Finding the Third Proportional to 116,969 and 176,706

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Solution

The third proportional to 116,969 and 176,706 is: 266,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,969 : 176,706 = 176,706 : x
  2. Step 2: Convert to fraction form
    116,969/176,706 = 176,706/x
  3. Step 3: Cross multiply
    116,969x = 176,706 × 176,706
  4. Step 4: Simplify right side
    116,969x = 31,225,010,436
  5. Step 5: Solve for x
    x = 31,225,010,436/116,969
  6. Step 6: Final answer
    x = 266,951.16

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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.