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Finding the Third Proportional to 112,638.09 and 152,042.06

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Solution

The third proportional to 112,638.09 and 152,042.06 is: 205,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,638.09 : 152,042.06 = 152,042.06 : x
  2. Step 2: Convert to fraction form
    112,638.09/152,042.06 = 152,042.06/x
  3. Step 3: Cross multiply
    112,638.09x = 152,042.06 × 152,042.06
  4. Step 4: Simplify right side
    112,638.09x = 23,116,788,769.25
  5. Step 5: Solve for x
    x = 23,116,788,769.25/112,638.09
  6. Step 6: Final answer
    x = 205,230.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.