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Finding the Third Proportional to 58,222.50 and 89,031

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Solution

The third proportional to 58,222.50 and 89,031 is: 136,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,222.50 : 89,031 = 89,031 : x
  2. Step 2: Convert to fraction form
    58,222.50/89,031 = 89,031/x
  3. Step 3: Cross multiply
    58,222.50x = 89,031 × 89,031
  4. Step 4: Simplify right side
    58,222.50x = 7,926,518,961
  5. Step 5: Solve for x
    x = 7,926,518,961/58,222.50
  6. Step 6: Final answer
    x = 136,141.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.