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Finding the Third Proportional to 54,798 and 116,658

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Solution

The third proportional to 54,798 and 116,658 is: 248,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798 : 116,658 = 116,658 : x
  2. Step 2: Convert to fraction form
    54,798/116,658 = 116,658/x
  3. Step 3: Cross multiply
    54,798x = 116,658 × 116,658
  4. Step 4: Simplify right side
    54,798x = 13,609,088,964
  5. Step 5: Solve for x
    x = 13,609,088,964/54,798
  6. Step 6: Final answer
    x = 248,350.10

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