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Finding the Third Proportional to 52,236 and 112,783

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Solution

The third proportional to 52,236 and 112,783 is: 243,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,236 : 112,783 = 112,783 : x
  2. Step 2: Convert to fraction form
    52,236/112,783 = 112,783/x
  3. Step 3: Cross multiply
    52,236x = 112,783 × 112,783
  4. Step 4: Simplify right side
    52,236x = 12,720,005,089
  5. Step 5: Solve for x
    x = 12,720,005,089/52,236
  6. Step 6: Final answer
    x = 243,510.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.