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Finding the Third Proportional to 90,021 and 145,006.50

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Solution

The third proportional to 90,021 and 145,006.50 is: 233,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,021 : 145,006.50 = 145,006.50 : x
  2. Step 2: Convert to fraction form
    90,021/145,006.50 = 145,006.50/x
  3. Step 3: Cross multiply
    90,021x = 145,006.50 × 145,006.50
  4. Step 4: Simplify right side
    90,021x = 21,026,885,042.25
  5. Step 5: Solve for x
    x = 21,026,885,042.25/90,021
  6. Step 6: Final answer
    x = 233,577.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.