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Finding the Third Proportional to 71,574 and 104,893.50

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Solution

The third proportional to 71,574 and 104,893.50 is: 153,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574 : 104,893.50 = 104,893.50 : x
  2. Step 2: Convert to fraction form
    71,574/104,893.50 = 104,893.50/x
  3. Step 3: Cross multiply
    71,574x = 104,893.50 × 104,893.50
  4. Step 4: Simplify right side
    71,574x = 11,002,646,342.25
  5. Step 5: Solve for x
    x = 11,002,646,342.25/71,574
  6. Step 6: Final answer
    x = 153,724.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.