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Finding the Third Proportional to 117,036 and 176,588

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Solution

The third proportional to 117,036 and 176,588 is: 266,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,036 : 176,588 = 176,588 : x
  2. Step 2: Convert to fraction form
    117,036/176,588 = 176,588/x
  3. Step 3: Cross multiply
    117,036x = 176,588 × 176,588
  4. Step 4: Simplify right side
    117,036x = 31,183,321,744
  5. Step 5: Solve for x
    x = 31,183,321,744/117,036
  6. Step 6: Final answer
    x = 266,442.14

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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.