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Finding the Third Proportional to 131,989.50 and 216,681.75

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Solution

The third proportional to 131,989.50 and 216,681.75 is: 355,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,989.50 : 216,681.75 = 216,681.75 : x
  2. Step 2: Convert to fraction form
    131,989.50/216,681.75 = 216,681.75/x
  3. Step 3: Cross multiply
    131,989.50x = 216,681.75 × 216,681.75
  4. Step 4: Simplify right side
    131,989.50x = 46,950,980,783.06
  5. Step 5: Solve for x
    x = 46,950,980,783.06/131,989.50
  6. Step 6: Final answer
    x = 355,717.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.