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Finding the Third Proportional to 52,570.27 and 112,024.27

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Solution

The third proportional to 52,570.27 and 112,024.27 is: 238,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.27 : 112,024.27 = 112,024.27 : x
  2. Step 2: Convert to fraction form
    52,570.27/112,024.27 = 112,024.27/x
  3. Step 3: Cross multiply
    52,570.27x = 112,024.27 × 112,024.27
  4. Step 4: Simplify right side
    52,570.27x = 12,549,436,088.82
  5. Step 5: Solve for x
    x = 12,549,436,088.82/52,570.27
  6. Step 6: Final answer
    x = 238,717.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.