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Finding the Third Proportional to 87,070.50 and 190,545

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Solution

The third proportional to 87,070.50 and 190,545 is: 416,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,070.50 : 190,545 = 190,545 : x
  2. Step 2: Convert to fraction form
    87,070.50/190,545 = 190,545/x
  3. Step 3: Cross multiply
    87,070.50x = 190,545 × 190,545
  4. Step 4: Simplify right side
    87,070.50x = 36,307,397,025
  5. Step 5: Solve for x
    x = 36,307,397,025/87,070.50
  6. Step 6: Final answer
    x = 416,988.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.