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Finding the Third Proportional to 62,539.50 and 136,095

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Solution

The third proportional to 62,539.50 and 136,095 is: 296,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,539.50 : 136,095 = 136,095 : x
  2. Step 2: Convert to fraction form
    62,539.50/136,095 = 136,095/x
  3. Step 3: Cross multiply
    62,539.50x = 136,095 × 136,095
  4. Step 4: Simplify right side
    62,539.50x = 18,521,849,025
  5. Step 5: Solve for x
    x = 18,521,849,025/62,539.50
  6. Step 6: Final answer
    x = 296,162.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.