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Finding the Third Proportional to 105,969.38 and 148,514.63

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Solution

The third proportional to 105,969.38 and 148,514.63 is: 208,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.38 : 148,514.63 = 148,514.63 : x
  2. Step 2: Convert to fraction form
    105,969.38/148,514.63 = 148,514.63/x
  3. Step 3: Cross multiply
    105,969.38x = 148,514.63 × 148,514.63
  4. Step 4: Simplify right side
    105,969.38x = 22,056,593,838.89
  5. Step 5: Solve for x
    x = 22,056,593,838.89/105,969.38
  6. Step 6: Final answer
    x = 208,141.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.