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Finding the Third Proportional to 112,994.64 and 153,461.09

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Solution

The third proportional to 112,994.64 and 153,461.09 is: 208,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,994.64 : 153,461.09 = 153,461.09 : x
  2. Step 2: Convert to fraction form
    112,994.64/153,461.09 = 153,461.09/x
  3. Step 3: Cross multiply
    112,994.64x = 153,461.09 × 153,461.09
  4. Step 4: Simplify right side
    112,994.64x = 23,550,304,672.31
  5. Step 5: Solve for x
    x = 23,550,304,672.31/112,994.64
  6. Step 6: Final answer
    x = 208,419.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.