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Finding the Third Proportional to 42,071 and 92,061.50

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Solution

The third proportional to 42,071 and 92,061.50 is: 201,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071 : 92,061.50 = 92,061.50 : x
  2. Step 2: Convert to fraction form
    42,071/92,061.50 = 92,061.50/x
  3. Step 3: Cross multiply
    42,071x = 92,061.50 × 92,061.50
  4. Step 4: Simplify right side
    42,071x = 8,475,319,782.25
  5. Step 5: Solve for x
    x = 8,475,319,782.25/42,071
  6. Step 6: Final answer
    x = 201,452.78

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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.