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Finding the Third Proportional to 53,458 and 114,798

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Solution

The third proportional to 53,458 and 114,798 is: 246,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458 : 114,798 = 114,798 : x
  2. Step 2: Convert to fraction form
    53,458/114,798 = 114,798/x
  3. Step 3: Cross multiply
    53,458x = 114,798 × 114,798
  4. Step 4: Simplify right side
    53,458x = 13,178,580,804
  5. Step 5: Solve for x
    x = 13,178,580,804/53,458
  6. Step 6: Final answer
    x = 246,522.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.