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Finding the Third Proportional to 124,983 and 178,600.50

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Solution

The third proportional to 124,983 and 178,600.50 is: 255,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,983 : 178,600.50 = 178,600.50 : x
  2. Step 2: Convert to fraction form
    124,983/178,600.50 = 178,600.50/x
  3. Step 3: Cross multiply
    124,983x = 178,600.50 × 178,600.50
  4. Step 4: Simplify right side
    124,983x = 31,898,138,600.25
  5. Step 5: Solve for x
    x = 31,898,138,600.25/124,983
  6. Step 6: Final answer
    x = 255,219.82

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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.