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Finding the Third Proportional to 55,156 and 115,712

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Solution

The third proportional to 55,156 and 115,712 is: 242,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,156 : 115,712 = 115,712 : x
  2. Step 2: Convert to fraction form
    55,156/115,712 = 115,712/x
  3. Step 3: Cross multiply
    55,156x = 115,712 × 115,712
  4. Step 4: Simplify right side
    55,156x = 13,389,266,944
  5. Step 5: Solve for x
    x = 13,389,266,944/55,156
  6. Step 6: Final answer
    x = 242,752.68

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Why These Related Problems?

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