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Finding the Third Proportional to 103,498 and 162,013

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Solution

The third proportional to 103,498 and 162,013 is: 253,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,498 : 162,013 = 162,013 : x
  2. Step 2: Convert to fraction form
    103,498/162,013 = 162,013/x
  3. Step 3: Cross multiply
    103,498x = 162,013 × 162,013
  4. Step 4: Simplify right side
    103,498x = 26,248,212,169
  5. Step 5: Solve for x
    x = 26,248,212,169/103,498
  6. Step 6: Final answer
    x = 253,610.82

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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.