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Finding the Third Proportional to 62,155.50 and 136,408.13

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Solution

The third proportional to 62,155.50 and 136,408.13 is: 299,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,155.50 : 136,408.13 = 136,408.13 : x
  2. Step 2: Convert to fraction form
    62,155.50/136,408.13 = 136,408.13/x
  3. Step 3: Cross multiply
    62,155.50x = 136,408.13 × 136,408.13
  4. Step 4: Simplify right side
    62,155.50x = 18,607,176,566.02
  5. Step 5: Solve for x
    x = 18,607,176,566.02/62,155.50
  6. Step 6: Final answer
    x = 299,364.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.