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Finding the Third Proportional to 103,284.49 and 112,100.84

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Solution

The third proportional to 103,284.49 and 112,100.84 is: 121,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284.49 : 112,100.84 = 112,100.84 : x
  2. Step 2: Convert to fraction form
    103,284.49/112,100.84 = 112,100.84/x
  3. Step 3: Cross multiply
    103,284.49x = 112,100.84 × 112,100.84
  4. Step 4: Simplify right side
    103,284.49x = 12,566,597,417.89
  5. Step 5: Solve for x
    x = 12,566,597,417.89/103,284.49
  6. Step 6: Final answer
    x = 121,669.74

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