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Finding the Third Proportional to 71,115 and 95,422.50

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Solution

The third proportional to 71,115 and 95,422.50 is: 128,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115 : 95,422.50 = 95,422.50 : x
  2. Step 2: Convert to fraction form
    71,115/95,422.50 = 95,422.50/x
  3. Step 3: Cross multiply
    71,115x = 95,422.50 × 95,422.50
  4. Step 4: Simplify right side
    71,115x = 9,105,453,506.25
  5. Step 5: Solve for x
    x = 9,105,453,506.25/71,115
  6. Step 6: Final answer
    x = 128,038.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.