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Finding the Third Proportional to 53,611 and 114,347

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Solution

The third proportional to 53,611 and 114,347 is: 243,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,611 : 114,347 = 114,347 : x
  2. Step 2: Convert to fraction form
    53,611/114,347 = 114,347/x
  3. Step 3: Cross multiply
    53,611x = 114,347 × 114,347
  4. Step 4: Simplify right side
    53,611x = 13,075,236,409
  5. Step 5: Solve for x
    x = 13,075,236,409/53,611
  6. Step 6: Final answer
    x = 243,890.93

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Why These Related Problems?

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