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Finding the Third Proportional to 63,274.50 and 134,730

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Solution

The third proportional to 63,274.50 and 134,730 is: 286,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,274.50 : 134,730 = 134,730 : x
  2. Step 2: Convert to fraction form
    63,274.50/134,730 = 134,730/x
  3. Step 3: Cross multiply
    63,274.50x = 134,730 × 134,730
  4. Step 4: Simplify right side
    63,274.50x = 18,152,172,900
  5. Step 5: Solve for x
    x = 18,152,172,900/63,274.50
  6. Step 6: Final answer
    x = 286,879.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.