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Finding the Third Proportional to 83,010.50 and 183,465

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Solution

The third proportional to 83,010.50 and 183,465 is: 405,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.50 : 183,465 = 183,465 : x
  2. Step 2: Convert to fraction form
    83,010.50/183,465 = 183,465/x
  3. Step 3: Cross multiply
    83,010.50x = 183,465 × 183,465
  4. Step 4: Simplify right side
    83,010.50x = 33,659,406,225
  5. Step 5: Solve for x
    x = 33,659,406,225/83,010.50
  6. Step 6: Final answer
    x = 405,483.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.