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Finding the Third Proportional to 76,269.50 and 115,389.50

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Solution

The third proportional to 76,269.50 and 115,389.50 is: 174,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,269.50 : 115,389.50 = 115,389.50 : x
  2. Step 2: Convert to fraction form
    76,269.50/115,389.50 = 115,389.50/x
  3. Step 3: Cross multiply
    76,269.50x = 115,389.50 × 115,389.50
  4. Step 4: Simplify right side
    76,269.50x = 13,314,736,710.25
  5. Step 5: Solve for x
    x = 13,314,736,710.25/76,269.50
  6. Step 6: Final answer
    x = 174,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.