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Finding the Third Proportional to 52,888 and 114,484

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Solution

The third proportional to 52,888 and 114,484 is: 247,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,888 : 114,484 = 114,484 : x
  2. Step 2: Convert to fraction form
    52,888/114,484 = 114,484/x
  3. Step 3: Cross multiply
    52,888x = 114,484 × 114,484
  4. Step 4: Simplify right side
    52,888x = 13,106,586,256
  5. Step 5: Solve for x
    x = 13,106,586,256/52,888
  6. Step 6: Final answer
    x = 247,817.77

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Why These Related Problems?

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