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Finding the Third Proportional to 52,808.63 and 117,424.13

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Solution

The third proportional to 52,808.63 and 117,424.13 is: 261,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808.63 : 117,424.13 = 117,424.13 : x
  2. Step 2: Convert to fraction form
    52,808.63/117,424.13 = 117,424.13/x
  3. Step 3: Cross multiply
    52,808.63x = 117,424.13 × 117,424.13
  4. Step 4: Simplify right side
    52,808.63x = 13,788,425,132.02
  5. Step 5: Solve for x
    x = 13,788,425,132.02/52,808.63
  6. Step 6: Final answer
    x = 261,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.