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Finding the Third Proportional to 106,388 and 161,792.50

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Solution

The third proportional to 106,388 and 161,792.50 is: 246,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388 : 161,792.50 = 161,792.50 : x
  2. Step 2: Convert to fraction form
    106,388/161,792.50 = 161,792.50/x
  3. Step 3: Cross multiply
    106,388x = 161,792.50 × 161,792.50
  4. Step 4: Simplify right side
    106,388x = 26,176,813,056.25
  5. Step 5: Solve for x
    x = 26,176,813,056.25/106,388
  6. Step 6: Final answer
    x = 246,050.43

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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.