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Finding the Third Proportional to 116,973.50 and 166,712

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Solution

The third proportional to 116,973.50 and 166,712 is: 237,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,973.50 : 166,712 = 166,712 : x
  2. Step 2: Convert to fraction form
    116,973.50/166,712 = 166,712/x
  3. Step 3: Cross multiply
    116,973.50x = 166,712 × 166,712
  4. Step 4: Simplify right side
    116,973.50x = 27,792,890,944
  5. Step 5: Solve for x
    x = 27,792,890,944/116,973.50
  6. Step 6: Final answer
    x = 237,599.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.