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Finding the Third Proportional to 117,042 and 176,597

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Solution

The third proportional to 117,042 and 176,597 is: 266,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,042 : 176,597 = 176,597 : x
  2. Step 2: Convert to fraction form
    117,042/176,597 = 176,597/x
  3. Step 3: Cross multiply
    117,042x = 176,597 × 176,597
  4. Step 4: Simplify right side
    117,042x = 31,186,500,409
  5. Step 5: Solve for x
    x = 31,186,500,409/117,042
  6. Step 6: Final answer
    x = 266,455.63

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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.