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Finding the Third Proportional to 53,710 and 112,822

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Solution

The third proportional to 53,710 and 112,822 is: 236,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710 : 112,822 = 112,822 : x
  2. Step 2: Convert to fraction form
    53,710/112,822 = 112,822/x
  3. Step 3: Cross multiply
    53,710x = 112,822 × 112,822
  4. Step 4: Simplify right side
    53,710x = 12,728,803,684
  5. Step 5: Solve for x
    x = 12,728,803,684/53,710
  6. Step 6: Final answer
    x = 236,991.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.