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Finding the Third Proportional to 40,004 and 87,541

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Solution

The third proportional to 40,004 and 87,541 is: 191,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 87,541 = 87,541 : x
  2. Step 2: Convert to fraction form
    40,004/87,541 = 87,541/x
  3. Step 3: Cross multiply
    40,004x = 87,541 × 87,541
  4. Step 4: Simplify right side
    40,004x = 7,663,426,681
  5. Step 5: Solve for x
    x = 7,663,426,681/40,004
  6. Step 6: Final answer
    x = 191,566.51

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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.