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Finding the Third Proportional to 134,725.13 and 187,323

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Solution

The third proportional to 134,725.13 and 187,323 is: 260,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,725.13 : 187,323 = 187,323 : x
  2. Step 2: Convert to fraction form
    134,725.13/187,323 = 187,323/x
  3. Step 3: Cross multiply
    134,725.13x = 187,323 × 187,323
  4. Step 4: Simplify right side
    134,725.13x = 35,089,906,329
  5. Step 5: Solve for x
    x = 35,089,906,329/134,725.13
  6. Step 6: Final answer
    x = 260,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.