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Finding the Third Proportional to 103,825.13 and 162,658.13

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Solution

The third proportional to 103,825.13 and 162,658.13 is: 254,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.13 : 162,658.13 = 162,658.13 : x
  2. Step 2: Convert to fraction form
    103,825.13/162,658.13 = 162,658.13/x
  3. Step 3: Cross multiply
    103,825.13x = 162,658.13 × 162,658.13
  4. Step 4: Simplify right side
    103,825.13x = 26,457,665,628.52
  5. Step 5: Solve for x
    x = 26,457,665,628.52/103,825.13
  6. Step 6: Final answer
    x = 254,829.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.