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Finding the Third Proportional to 76,569 and 114,937.50

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Solution

The third proportional to 76,569 and 114,937.50 is: 172,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,569 : 114,937.50 = 114,937.50 : x
  2. Step 2: Convert to fraction form
    76,569/114,937.50 = 114,937.50/x
  3. Step 3: Cross multiply
    76,569x = 114,937.50 × 114,937.50
  4. Step 4: Simplify right side
    76,569x = 13,210,628,906.25
  5. Step 5: Solve for x
    x = 13,210,628,906.25/76,569
  6. Step 6: Final answer
    x = 172,532.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.