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Finding the Third Proportional to 125,484 and 178,873.50

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Solution

The third proportional to 125,484 and 178,873.50 is: 254,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,484 : 178,873.50 = 178,873.50 : x
  2. Step 2: Convert to fraction form
    125,484/178,873.50 = 178,873.50/x
  3. Step 3: Cross multiply
    125,484x = 178,873.50 × 178,873.50
  4. Step 4: Simplify right side
    125,484x = 31,995,729,002.25
  5. Step 5: Solve for x
    x = 31,995,729,002.25/125,484
  6. Step 6: Final answer
    x = 254,978.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.