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Finding the Third Proportional to 67,275.56 and 145,602.56

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Solution

The third proportional to 67,275.56 and 145,602.56 is: 315,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,275.56 : 145,602.56 = 145,602.56 : x
  2. Step 2: Convert to fraction form
    67,275.56/145,602.56 = 145,602.56/x
  3. Step 3: Cross multiply
    67,275.56x = 145,602.56 × 145,602.56
  4. Step 4: Simplify right side
    67,275.56x = 21,200,106,206.57
  5. Step 5: Solve for x
    x = 21,200,106,206.57/67,275.56
  6. Step 6: Final answer
    x = 315,123.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.