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Finding the Third Proportional to 63,521.72 and 138,114.70

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Solution

The third proportional to 63,521.72 and 138,114.70 is: 300,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,521.72 : 138,114.70 = 138,114.70 : x
  2. Step 2: Convert to fraction form
    63,521.72/138,114.70 = 138,114.70/x
  3. Step 3: Cross multiply
    63,521.72x = 138,114.70 × 138,114.70
  4. Step 4: Simplify right side
    63,521.72x = 19,075,671,219.31
  5. Step 5: Solve for x
    x = 19,075,671,219.31/63,521.72
  6. Step 6: Final answer
    x = 300,301.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.