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Finding the Third Proportional to 55,534.50 and 119,952

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Solution

The third proportional to 55,534.50 and 119,952 is: 259,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534.50 : 119,952 = 119,952 : x
  2. Step 2: Convert to fraction form
    55,534.50/119,952 = 119,952/x
  3. Step 3: Cross multiply
    55,534.50x = 119,952 × 119,952
  4. Step 4: Simplify right side
    55,534.50x = 14,388,482,304
  5. Step 5: Solve for x
    x = 14,388,482,304/55,534.50
  6. Step 6: Final answer
    x = 259,090.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.