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Finding the Third Proportional to 69,953.63 and 109,046.25

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Solution

The third proportional to 69,953.63 and 109,046.25 is: 169,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,953.63 : 109,046.25 = 109,046.25 : x
  2. Step 2: Convert to fraction form
    69,953.63/109,046.25 = 109,046.25/x
  3. Step 3: Cross multiply
    69,953.63x = 109,046.25 × 109,046.25
  4. Step 4: Simplify right side
    69,953.63x = 11,891,084,639.06
  5. Step 5: Solve for x
    x = 11,891,084,639.06/69,953.63
  6. Step 6: Final answer
    x = 169,985.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.