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Finding the Third Proportional to 86,672.50 and 137,905

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Solution

The third proportional to 86,672.50 and 137,905 is: 219,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,672.50 : 137,905 = 137,905 : x
  2. Step 2: Convert to fraction form
    86,672.50/137,905 = 137,905/x
  3. Step 3: Cross multiply
    86,672.50x = 137,905 × 137,905
  4. Step 4: Simplify right side
    86,672.50x = 19,017,789,025
  5. Step 5: Solve for x
    x = 19,017,789,025/86,672.50
  6. Step 6: Final answer
    x = 219,421.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.