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Finding the Third Proportional to 105,907.50 and 162,243

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Solution

The third proportional to 105,907.50 and 162,243 is: 248,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.50 : 162,243 = 162,243 : x
  2. Step 2: Convert to fraction form
    105,907.50/162,243 = 162,243/x
  3. Step 3: Cross multiply
    105,907.50x = 162,243 × 162,243
  4. Step 4: Simplify right side
    105,907.50x = 26,322,791,049
  5. Step 5: Solve for x
    x = 26,322,791,049/105,907.50
  6. Step 6: Final answer
    x = 248,545.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.