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Finding the Third Proportional to 54,522 and 116,925.75

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Solution

The third proportional to 54,522 and 116,925.75 is: 250,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522 : 116,925.75 = 116,925.75 : x
  2. Step 2: Convert to fraction form
    54,522/116,925.75 = 116,925.75/x
  3. Step 3: Cross multiply
    54,522x = 116,925.75 × 116,925.75
  4. Step 4: Simplify right side
    54,522x = 13,671,631,013.06
  5. Step 5: Solve for x
    x = 13,671,631,013.06/54,522
  6. Step 6: Final answer
    x = 250,754.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.