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Finding the Third Proportional to 59,454 and 129,964.50

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Solution

The third proportional to 59,454 and 129,964.50 is: 284,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454 : 129,964.50 = 129,964.50 : x
  2. Step 2: Convert to fraction form
    59,454/129,964.50 = 129,964.50/x
  3. Step 3: Cross multiply
    59,454x = 129,964.50 × 129,964.50
  4. Step 4: Simplify right side
    59,454x = 16,890,771,260.25
  5. Step 5: Solve for x
    x = 16,890,771,260.25/59,454
  6. Step 6: Final answer
    x = 284,098.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.