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Finding the Third Proportional to 58,782.38 and 89,548.88

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Solution

The third proportional to 58,782.38 and 89,548.88 is: 136,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782.38 : 89,548.88 = 89,548.88 : x
  2. Step 2: Convert to fraction form
    58,782.38/89,548.88 = 89,548.88/x
  3. Step 3: Cross multiply
    58,782.38x = 89,548.88 × 89,548.88
  4. Step 4: Simplify right side
    58,782.38x = 8,019,001,013.77
  5. Step 5: Solve for x
    x = 8,019,001,013.77/58,782.38
  6. Step 6: Final answer
    x = 136,418.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.