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Finding the Third Proportional to 103,034.50 and 163,462

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Solution

The third proportional to 103,034.50 and 163,462 is: 259,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,034.50 : 163,462 = 163,462 : x
  2. Step 2: Convert to fraction form
    103,034.50/163,462 = 163,462/x
  3. Step 3: Cross multiply
    103,034.50x = 163,462 × 163,462
  4. Step 4: Simplify right side
    103,034.50x = 26,719,825,444
  5. Step 5: Solve for x
    x = 26,719,825,444/103,034.50
  6. Step 6: Final answer
    x = 259,328.92

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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.