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Finding the Third Proportional to 117,021 and 176,562

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Solution

The third proportional to 117,021 and 176,562 is: 266,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,021 : 176,562 = 176,562 : x
  2. Step 2: Convert to fraction form
    117,021/176,562 = 176,562/x
  3. Step 3: Cross multiply
    117,021x = 176,562 × 176,562
  4. Step 4: Simplify right side
    117,021x = 31,174,139,844
  5. Step 5: Solve for x
    x = 31,174,139,844/117,021
  6. Step 6: Final answer
    x = 266,397.82

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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.