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Finding the Third Proportional to 59,518.13 and 129,903.75

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Solution

The third proportional to 59,518.13 and 129,903.75 is: 283,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,518.13 : 129,903.75 = 129,903.75 : x
  2. Step 2: Convert to fraction form
    59,518.13/129,903.75 = 129,903.75/x
  3. Step 3: Cross multiply
    59,518.13x = 129,903.75 × 129,903.75
  4. Step 4: Simplify right side
    59,518.13x = 16,874,984,264.06
  5. Step 5: Solve for x
    x = 16,874,984,264.06/59,518.13
  6. Step 6: Final answer
    x = 283,526.81

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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.