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Finding the Third Proportional to 113,166 and 248,095

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Solution

The third proportional to 113,166 and 248,095 is: 543,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,166 : 248,095 = 248,095 : x
  2. Step 2: Convert to fraction form
    113,166/248,095 = 248,095/x
  3. Step 3: Cross multiply
    113,166x = 248,095 × 248,095
  4. Step 4: Simplify right side
    113,166x = 61,551,129,025
  5. Step 5: Solve for x
    x = 61,551,129,025/113,166
  6. Step 6: Final answer
    x = 543,901.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.