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Finding the Third Proportional to 52,100.72 and 112,095.14

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Solution

The third proportional to 52,100.72 and 112,095.14 is: 241,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 112,095.14 = 112,095.14 : x
  2. Step 2: Convert to fraction form
    52,100.72/112,095.14 = 112,095.14/x
  3. Step 3: Cross multiply
    52,100.72x = 112,095.14 × 112,095.14
  4. Step 4: Simplify right side
    52,100.72x = 12,565,320,551.74
  5. Step 5: Solve for x
    x = 12,565,320,551.74/52,100.72
  6. Step 6: Final answer
    x = 241,173.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.