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Finding the Third Proportional to 42,122.63 and 61,536.75

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Solution

The third proportional to 42,122.63 and 61,536.75 is: 89,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122.63 : 61,536.75 = 61,536.75 : x
  2. Step 2: Convert to fraction form
    42,122.63/61,536.75 = 61,536.75/x
  3. Step 3: Cross multiply
    42,122.63x = 61,536.75 × 61,536.75
  4. Step 4: Simplify right side
    42,122.63x = 3,786,771,600.56
  5. Step 5: Solve for x
    x = 3,786,771,600.56/42,122.63
  6. Step 6: Final answer
    x = 89,898.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.