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Finding the Third Proportional to 65,483.25 and 107,041.50

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Solution

The third proportional to 65,483.25 and 107,041.50 is: 174,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,483.25 : 107,041.50 = 107,041.50 : x
  2. Step 2: Convert to fraction form
    65,483.25/107,041.50 = 107,041.50/x
  3. Step 3: Cross multiply
    65,483.25x = 107,041.50 × 107,041.50
  4. Step 4: Simplify right side
    65,483.25x = 11,457,882,722.25
  5. Step 5: Solve for x
    x = 11,457,882,722.25/65,483.25
  6. Step 6: Final answer
    x = 174,974.25

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.