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Finding the Third Proportional to 72,653.63 and 97,635.38

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Solution

The third proportional to 72,653.63 and 97,635.38 is: 131,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,653.63 : 97,635.38 = 97,635.38 : x
  2. Step 2: Convert to fraction form
    72,653.63/97,635.38 = 97,635.38/x
  3. Step 3: Cross multiply
    72,653.63x = 97,635.38 × 97,635.38
  4. Step 4: Simplify right side
    72,653.63x = 9,532,666,451.39
  5. Step 5: Solve for x
    x = 9,532,666,451.39/72,653.63
  6. Step 6: Final answer
    x = 131,207.03

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.