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Finding the Third Proportional to 125,928.75 and 174,537

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Solution

The third proportional to 125,928.75 and 174,537 is: 241,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928.75 : 174,537 = 174,537 : x
  2. Step 2: Convert to fraction form
    125,928.75/174,537 = 174,537/x
  3. Step 3: Cross multiply
    125,928.75x = 174,537 × 174,537
  4. Step 4: Simplify right side
    125,928.75x = 30,463,164,369
  5. Step 5: Solve for x
    x = 30,463,164,369/125,928.75
  6. Step 6: Final answer
    x = 241,907.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.