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Finding the Third Proportional to 63,137.50 and 105,216

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Solution

The third proportional to 63,137.50 and 105,216 is: 175,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,137.50 : 105,216 = 105,216 : x
  2. Step 2: Convert to fraction form
    63,137.50/105,216 = 105,216/x
  3. Step 3: Cross multiply
    63,137.50x = 105,216 × 105,216
  4. Step 4: Simplify right side
    63,137.50x = 11,070,406,656
  5. Step 5: Solve for x
    x = 11,070,406,656/63,137.50
  6. Step 6: Final answer
    x = 175,338.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.