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Finding the Third Proportional to 42,607 and 92,265.50

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Solution

The third proportional to 42,607 and 92,265.50 is: 199,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607 : 92,265.50 = 92,265.50 : x
  2. Step 2: Convert to fraction form
    42,607/92,265.50 = 92,265.50/x
  3. Step 3: Cross multiply
    42,607x = 92,265.50 × 92,265.50
  4. Step 4: Simplify right side
    42,607x = 8,512,922,490.25
  5. Step 5: Solve for x
    x = 8,512,922,490.25/42,607
  6. Step 6: Final answer
    x = 199,801.03

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