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Finding the Third Proportional to 139,407.75 and 210,417.75

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Solution

The third proportional to 139,407.75 and 210,417.75 is: 317,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407.75 : 210,417.75 = 210,417.75 : x
  2. Step 2: Convert to fraction form
    139,407.75/210,417.75 = 210,417.75/x
  3. Step 3: Cross multiply
    139,407.75x = 210,417.75 × 210,417.75
  4. Step 4: Simplify right side
    139,407.75x = 44,275,629,515.06
  5. Step 5: Solve for x
    x = 44,275,629,515.06/139,407.75
  6. Step 6: Final answer
    x = 317,598.05

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