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Finding the Third Proportional to 62,271 and 137,623.50

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Solution

The third proportional to 62,271 and 137,623.50 is: 304,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271 : 137,623.50 = 137,623.50 : x
  2. Step 2: Convert to fraction form
    62,271/137,623.50 = 137,623.50/x
  3. Step 3: Cross multiply
    62,271x = 137,623.50 × 137,623.50
  4. Step 4: Simplify right side
    62,271x = 18,940,227,752.25
  5. Step 5: Solve for x
    x = 18,940,227,752.25/62,271
  6. Step 6: Final answer
    x = 304,158.08

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.