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Finding the Third Proportional to 137,225.71 and 214,138.05

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Solution

The third proportional to 137,225.71 and 214,138.05 is: 334,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,225.71 : 214,138.05 = 214,138.05 : x
  2. Step 2: Convert to fraction form
    137,225.71/214,138.05 = 214,138.05/x
  3. Step 3: Cross multiply
    137,225.71x = 214,138.05 × 214,138.05
  4. Step 4: Simplify right side
    137,225.71x = 45,855,106,465.35
  5. Step 5: Solve for x
    x = 45,855,106,465.35/137,225.71
  6. Step 6: Final answer
    x = 334,158.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.