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Finding the Third Proportional to 97,607.25 and 147,642.75

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Solution

The third proportional to 97,607.25 and 147,642.75 is: 223,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,607.25 : 147,642.75 = 147,642.75 : x
  2. Step 2: Convert to fraction form
    97,607.25/147,642.75 = 147,642.75/x
  3. Step 3: Cross multiply
    97,607.25x = 147,642.75 × 147,642.75
  4. Step 4: Simplify right side
    97,607.25x = 21,798,381,627.56
  5. Step 5: Solve for x
    x = 21,798,381,627.56/97,607.25
  6. Step 6: Final answer
    x = 223,327.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.