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Finding the Third Proportional to 125,929.50 and 174,537.75

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Solution

The third proportional to 125,929.50 and 174,537.75 is: 241,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,929.50 : 174,537.75 = 174,537.75 : x
  2. Step 2: Convert to fraction form
    125,929.50/174,537.75 = 174,537.75/x
  3. Step 3: Cross multiply
    125,929.50x = 174,537.75 × 174,537.75
  4. Step 4: Simplify right side
    125,929.50x = 30,463,426,175.06
  5. Step 5: Solve for x
    x = 30,463,426,175.06/125,929.50
  6. Step 6: Final answer
    x = 241,908.58

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