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Finding the Third Proportional to 92,323.50 and 138,325.50

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Solution

The third proportional to 92,323.50 and 138,325.50 is: 207,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323.50 : 138,325.50 = 138,325.50 : x
  2. Step 2: Convert to fraction form
    92,323.50/138,325.50 = 138,325.50/x
  3. Step 3: Cross multiply
    92,323.50x = 138,325.50 × 138,325.50
  4. Step 4: Simplify right side
    92,323.50x = 19,133,943,950.25
  5. Step 5: Solve for x
    x = 19,133,943,950.25/92,323.50
  6. Step 6: Final answer
    x = 207,248.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.