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Finding the Third Proportional to 83,087.50 and 182,789

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Solution

The third proportional to 83,087.50 and 182,789 is: 402,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087.50 : 182,789 = 182,789 : x
  2. Step 2: Convert to fraction form
    83,087.50/182,789 = 182,789/x
  3. Step 3: Cross multiply
    83,087.50x = 182,789 × 182,789
  4. Step 4: Simplify right side
    83,087.50x = 33,411,818,521
  5. Step 5: Solve for x
    x = 33,411,818,521/83,087.50
  6. Step 6: Final answer
    x = 402,128.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.