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Finding the Third Proportional to 72,898.50 and 93,150

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Solution

The third proportional to 72,898.50 and 93,150 is: 119,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,898.50 : 93,150 = 93,150 : x
  2. Step 2: Convert to fraction form
    72,898.50/93,150 = 93,150/x
  3. Step 3: Cross multiply
    72,898.50x = 93,150 × 93,150
  4. Step 4: Simplify right side
    72,898.50x = 8,676,922,500
  5. Step 5: Solve for x
    x = 8,676,922,500/72,898.50
  6. Step 6: Final answer
    x = 119,027.45

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.