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Finding the Third Proportional to 55,681.88 and 119,980.13

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Solution

The third proportional to 55,681.88 and 119,980.13 is: 258,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,681.88 : 119,980.13 = 119,980.13 : x
  2. Step 2: Convert to fraction form
    55,681.88/119,980.13 = 119,980.13/x
  3. Step 3: Cross multiply
    55,681.88x = 119,980.13 × 119,980.13
  4. Step 4: Simplify right side
    55,681.88x = 14,395,230,395.02
  5. Step 5: Solve for x
    x = 14,395,230,395.02/55,681.88
  6. Step 6: Final answer
    x = 258,526.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.