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Finding the Third Proportional to 139,870.50 and 210,967.50

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Solution

The third proportional to 139,870.50 and 210,967.50 is: 318,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,870.50 : 210,967.50 = 210,967.50 : x
  2. Step 2: Convert to fraction form
    139,870.50/210,967.50 = 210,967.50/x
  3. Step 3: Cross multiply
    139,870.50x = 210,967.50 × 210,967.50
  4. Step 4: Simplify right side
    139,870.50x = 44,507,286,056.25
  5. Step 5: Solve for x
    x = 44,507,286,056.25/139,870.50
  6. Step 6: Final answer
    x = 318,203.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.