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Finding the Third Proportional to 92,607 and 140,908.50

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Solution

The third proportional to 92,607 and 140,908.50 is: 214,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,607 : 140,908.50 = 140,908.50 : x
  2. Step 2: Convert to fraction form
    92,607/140,908.50 = 140,908.50/x
  3. Step 3: Cross multiply
    92,607x = 140,908.50 × 140,908.50
  4. Step 4: Simplify right side
    92,607x = 19,855,205,372.25
  5. Step 5: Solve for x
    x = 19,855,205,372.25/92,607
  6. Step 6: Final answer
    x = 214,402.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.