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Finding the Third Proportional to 89,140.50 and 131,058

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Solution

The third proportional to 89,140.50 and 131,058 is: 192,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140.50 : 131,058 = 131,058 : x
  2. Step 2: Convert to fraction form
    89,140.50/131,058 = 131,058/x
  3. Step 3: Cross multiply
    89,140.50x = 131,058 × 131,058
  4. Step 4: Simplify right side
    89,140.50x = 17,176,199,364
  5. Step 5: Solve for x
    x = 17,176,199,364/89,140.50
  6. Step 6: Final answer
    x = 192,686.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.