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Finding the Third Proportional to 76,389.75 and 112,279.50

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Solution

The third proportional to 76,389.75 and 112,279.50 is: 165,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,389.75 : 112,279.50 = 112,279.50 : x
  2. Step 2: Convert to fraction form
    76,389.75/112,279.50 = 112,279.50/x
  3. Step 3: Cross multiply
    76,389.75x = 112,279.50 × 112,279.50
  4. Step 4: Simplify right side
    76,389.75x = 12,606,686,120.25
  5. Step 5: Solve for x
    x = 12,606,686,120.25/76,389.75
  6. Step 6: Final answer
    x = 165,031.12

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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.