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Finding the Third Proportional to 136,022.50 and 207,043

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Solution

The third proportional to 136,022.50 and 207,043 is: 315,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,022.50 : 207,043 = 207,043 : x
  2. Step 2: Convert to fraction form
    136,022.50/207,043 = 207,043/x
  3. Step 3: Cross multiply
    136,022.50x = 207,043 × 207,043
  4. Step 4: Simplify right side
    136,022.50x = 42,866,803,849
  5. Step 5: Solve for x
    x = 42,866,803,849/136,022.50
  6. Step 6: Final answer
    x = 315,144.95

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Why These Related Problems?

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