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Finding the Third Proportional to 116,842.50 and 183,056.06

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Solution

The third proportional to 116,842.50 and 183,056.06 is: 286,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842.50 : 183,056.06 = 183,056.06 : x
  2. Step 2: Convert to fraction form
    116,842.50/183,056.06 = 183,056.06/x
  3. Step 3: Cross multiply
    116,842.50x = 183,056.06 × 183,056.06
  4. Step 4: Simplify right side
    116,842.50x = 33,509,522,018.00
  5. Step 5: Solve for x
    x = 33,509,522,018.00/116,842.50
  6. Step 6: Final answer
    x = 286,792.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.