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Finding the Third Proportional to 63,465.50 and 137,856

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Solution

The third proportional to 63,465.50 and 137,856 is: 299,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,465.50 : 137,856 = 137,856 : x
  2. Step 2: Convert to fraction form
    63,465.50/137,856 = 137,856/x
  3. Step 3: Cross multiply
    63,465.50x = 137,856 × 137,856
  4. Step 4: Simplify right side
    63,465.50x = 19,004,276,736
  5. Step 5: Solve for x
    x = 19,004,276,736/63,465.50
  6. Step 6: Final answer
    x = 299,442.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.