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Finding the Third Proportional to 63,526.50 and 135,804

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Solution

The third proportional to 63,526.50 and 135,804 is: 290,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,526.50 : 135,804 = 135,804 : x
  2. Step 2: Convert to fraction form
    63,526.50/135,804 = 135,804/x
  3. Step 3: Cross multiply
    63,526.50x = 135,804 × 135,804
  4. Step 4: Simplify right side
    63,526.50x = 18,442,726,416
  5. Step 5: Solve for x
    x = 18,442,726,416/63,526.50
  6. Step 6: Final answer
    x = 290,315.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.