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Finding the Third Proportional to 86,900.50 and 131,577

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Solution

The third proportional to 86,900.50 and 131,577 is: 199,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,900.50 : 131,577 = 131,577 : x
  2. Step 2: Convert to fraction form
    86,900.50/131,577 = 131,577/x
  3. Step 3: Cross multiply
    86,900.50x = 131,577 × 131,577
  4. Step 4: Simplify right side
    86,900.50x = 17,312,506,929
  5. Step 5: Solve for x
    x = 17,312,506,929/86,900.50
  6. Step 6: Final answer
    x = 199,222.18

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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.