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Finding the Third Proportional to 91,846.13 and 139,153.13

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Solution

The third proportional to 91,846.13 and 139,153.13 is: 210,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,846.13 : 139,153.13 = 139,153.13 : x
  2. Step 2: Convert to fraction form
    91,846.13/139,153.13 = 139,153.13/x
  3. Step 3: Cross multiply
    91,846.13x = 139,153.13 × 139,153.13
  4. Step 4: Simplify right side
    91,846.13x = 19,363,592,197.27
  5. Step 5: Solve for x
    x = 19,363,592,197.27/91,846.13
  6. Step 6: Final answer
    x = 210,826.45

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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.