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Finding the Third Proportional to 114,996 and 158,352

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Solution

The third proportional to 114,996 and 158,352 is: 218,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,996 : 158,352 = 158,352 : x
  2. Step 2: Convert to fraction form
    114,996/158,352 = 158,352/x
  3. Step 3: Cross multiply
    114,996x = 158,352 × 158,352
  4. Step 4: Simplify right side
    114,996x = 25,075,355,904
  5. Step 5: Solve for x
    x = 25,075,355,904/114,996
  6. Step 6: Final answer
    x = 218,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.