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Finding the Third Proportional to 139,371 and 212,332.50

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Solution

The third proportional to 139,371 and 212,332.50 is: 323,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,371 : 212,332.50 = 212,332.50 : x
  2. Step 2: Convert to fraction form
    139,371/212,332.50 = 212,332.50/x
  3. Step 3: Cross multiply
    139,371x = 212,332.50 × 212,332.50
  4. Step 4: Simplify right side
    139,371x = 45,085,090,556.25
  5. Step 5: Solve for x
    x = 45,085,090,556.25/139,371
  6. Step 6: Final answer
    x = 323,489.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.