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Finding the Third Proportional to 42,570 and 92,515.50

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Solution

The third proportional to 42,570 and 92,515.50 is: 201,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570 : 92,515.50 = 92,515.50 : x
  2. Step 2: Convert to fraction form
    42,570/92,515.50 = 92,515.50/x
  3. Step 3: Cross multiply
    42,570x = 92,515.50 × 92,515.50
  4. Step 4: Simplify right side
    42,570x = 8,559,117,740.25
  5. Step 5: Solve for x
    x = 8,559,117,740.25/42,570
  6. Step 6: Final answer
    x = 201,059.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.