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Finding the Third Proportional to 124,999.50 and 178,624.50

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Solution

The third proportional to 124,999.50 and 178,624.50 is: 255,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,999.50 : 178,624.50 = 178,624.50 : x
  2. Step 2: Convert to fraction form
    124,999.50/178,624.50 = 178,624.50/x
  3. Step 3: Cross multiply
    124,999.50x = 178,624.50 × 178,624.50
  4. Step 4: Simplify right side
    124,999.50x = 31,906,712,000.25
  5. Step 5: Solve for x
    x = 31,906,712,000.25/124,999.50
  6. Step 6: Final answer
    x = 255,254.72

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Why These Related Problems?

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