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Finding the Third Proportional to 54,358 and 75,111

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Solution

The third proportional to 54,358 and 75,111 is: 103,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358 : 75,111 = 75,111 : x
  2. Step 2: Convert to fraction form
    54,358/75,111 = 75,111/x
  3. Step 3: Cross multiply
    54,358x = 75,111 × 75,111
  4. Step 4: Simplify right side
    54,358x = 5,641,662,321
  5. Step 5: Solve for x
    x = 5,641,662,321/54,358
  6. Step 6: Final answer
    x = 103,787.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.