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Finding the Third Proportional to 53,877.75 and 117,787.50

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Solution

The third proportional to 53,877.75 and 117,787.50 is: 257,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,877.75 : 117,787.50 = 117,787.50 : x
  2. Step 2: Convert to fraction form
    53,877.75/117,787.50 = 117,787.50/x
  3. Step 3: Cross multiply
    53,877.75x = 117,787.50 × 117,787.50
  4. Step 4: Simplify right side
    53,877.75x = 13,873,895,156.25
  5. Step 5: Solve for x
    x = 13,873,895,156.25/53,877.75
  6. Step 6: Final answer
    x = 257,506.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.