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Finding the Third Proportional to 54,095 and 118,032

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Solution

The third proportional to 54,095 and 118,032 is: 257,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,095 : 118,032 = 118,032 : x
  2. Step 2: Convert to fraction form
    54,095/118,032 = 118,032/x
  3. Step 3: Cross multiply
    54,095x = 118,032 × 118,032
  4. Step 4: Simplify right side
    54,095x = 13,931,553,024
  5. Step 5: Solve for x
    x = 13,931,553,024/54,095
  6. Step 6: Final answer
    x = 257,538.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.