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Finding the Third Proportional to 75,047 and 105,550

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Solution

The third proportional to 75,047 and 105,550 is: 148,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047 : 105,550 = 105,550 : x
  2. Step 2: Convert to fraction form
    75,047/105,550 = 105,550/x
  3. Step 3: Cross multiply
    75,047x = 105,550 × 105,550
  4. Step 4: Simplify right side
    75,047x = 11,140,802,500
  5. Step 5: Solve for x
    x = 11,140,802,500/75,047
  6. Step 6: Final answer
    x = 148,451.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.