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Finding the Third Proportional to 54,312 and 113,586

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Solution

The third proportional to 54,312 and 113,586 is: 237,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312 : 113,586 = 113,586 : x
  2. Step 2: Convert to fraction form
    54,312/113,586 = 113,586/x
  3. Step 3: Cross multiply
    54,312x = 113,586 × 113,586
  4. Step 4: Simplify right side
    54,312x = 12,901,779,396
  5. Step 5: Solve for x
    x = 12,901,779,396/54,312
  6. Step 6: Final answer
    x = 237,549.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.