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Finding the Third Proportional to 92,403 and 121,333.50

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Solution

The third proportional to 92,403 and 121,333.50 is: 159,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,403 : 121,333.50 = 121,333.50 : x
  2. Step 2: Convert to fraction form
    92,403/121,333.50 = 121,333.50/x
  3. Step 3: Cross multiply
    92,403x = 121,333.50 × 121,333.50
  4. Step 4: Simplify right side
    92,403x = 14,721,818,222.25
  5. Step 5: Solve for x
    x = 14,721,818,222.25/92,403
  6. Step 6: Final answer
    x = 159,321.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.