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Finding the Third Proportional to 137,612.25 and 211,585.50

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Solution

The third proportional to 137,612.25 and 211,585.50 is: 325,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612.25 : 211,585.50 = 211,585.50 : x
  2. Step 2: Convert to fraction form
    137,612.25/211,585.50 = 211,585.50/x
  3. Step 3: Cross multiply
    137,612.25x = 211,585.50 × 211,585.50
  4. Step 4: Simplify right side
    137,612.25x = 44,768,423,810.25
  5. Step 5: Solve for x
    x = 44,768,423,810.25/137,612.25
  6. Step 6: Final answer
    x = 325,322.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.