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Finding the Third Proportional to 52,537.88 and 78,621.19

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Solution

The third proportional to 52,537.88 and 78,621.19 is: 117,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.88 : 78,621.19 = 78,621.19 : x
  2. Step 2: Convert to fraction form
    52,537.88/78,621.19 = 78,621.19/x
  3. Step 3: Cross multiply
    52,537.88x = 78,621.19 × 78,621.19
  4. Step 4: Simplify right side
    52,537.88x = 6,181,291,123.91
  5. Step 5: Solve for x
    x = 6,181,291,123.91/52,537.88
  6. Step 6: Final answer
    x = 117,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.