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Finding the Third Proportional to 124,550 and 151,910

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Solution

The third proportional to 124,550 and 151,910 is: 185,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,550 : 151,910 = 151,910 : x
  2. Step 2: Convert to fraction form
    124,550/151,910 = 151,910/x
  3. Step 3: Cross multiply
    124,550x = 151,910 × 151,910
  4. Step 4: Simplify right side
    124,550x = 23,076,648,100
  5. Step 5: Solve for x
    x = 23,076,648,100/124,550
  6. Step 6: Final answer
    x = 185,280.19

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.