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Finding the Third Proportional to 103,285.50 and 112,102

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Solution

The third proportional to 103,285.50 and 112,102 is: 121,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,285.50 : 112,102 = 112,102 : x
  2. Step 2: Convert to fraction form
    103,285.50/112,102 = 112,102/x
  3. Step 3: Cross multiply
    103,285.50x = 112,102 × 112,102
  4. Step 4: Simplify right side
    103,285.50x = 12,566,858,404
  5. Step 5: Solve for x
    x = 12,566,858,404/103,285.50
  6. Step 6: Final answer
    x = 121,671.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.