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Finding the Third Proportional to 106,714.13 and 247,056.19

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Solution

The third proportional to 106,714.13 and 247,056.19 is: 571,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.13 : 247,056.19 = 247,056.19 : x
  2. Step 2: Convert to fraction form
    106,714.13/247,056.19 = 247,056.19/x
  3. Step 3: Cross multiply
    106,714.13x = 247,056.19 × 247,056.19
  4. Step 4: Simplify right side
    106,714.13x = 61,036,759,782.04
  5. Step 5: Solve for x
    x = 61,036,759,782.04/106,714.13
  6. Step 6: Final answer
    x = 571,965.14

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.