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Finding the Third Proportional to 73,169 and 112,792.50

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Solution

The third proportional to 73,169 and 112,792.50 is: 173,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,169 : 112,792.50 = 112,792.50 : x
  2. Step 2: Convert to fraction form
    73,169/112,792.50 = 112,792.50/x
  3. Step 3: Cross multiply
    73,169x = 112,792.50 × 112,792.50
  4. Step 4: Simplify right side
    73,169x = 12,722,148,056.25
  5. Step 5: Solve for x
    x = 12,722,148,056.25/73,169
  6. Step 6: Final answer
    x = 173,873.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.