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Finding the Third Proportional to 116,943 and 176,467

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Solution

The third proportional to 116,943 and 176,467 is: 266,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,943 : 176,467 = 176,467 : x
  2. Step 2: Convert to fraction form
    116,943/176,467 = 176,467/x
  3. Step 3: Cross multiply
    116,943x = 176,467 × 176,467
  4. Step 4: Simplify right side
    116,943x = 31,140,602,089
  5. Step 5: Solve for x
    x = 31,140,602,089/116,943
  6. Step 6: Final answer
    x = 266,288.72

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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.