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Finding the Third Proportional to 116,712 and 182,894.50

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Solution

The third proportional to 116,712 and 182,894.50 is: 286,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,712 : 182,894.50 = 182,894.50 : x
  2. Step 2: Convert to fraction form
    116,712/182,894.50 = 182,894.50/x
  3. Step 3: Cross multiply
    116,712x = 182,894.50 × 182,894.50
  4. Step 4: Simplify right side
    116,712x = 33,450,398,130.25
  5. Step 5: Solve for x
    x = 33,450,398,130.25/116,712
  6. Step 6: Final answer
    x = 286,606.33

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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.