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Finding the Third Proportional to 116,665.50 and 176,070

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Solution

The third proportional to 116,665.50 and 176,070 is: 265,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,665.50 : 176,070 = 176,070 : x
  2. Step 2: Convert to fraction form
    116,665.50/176,070 = 176,070/x
  3. Step 3: Cross multiply
    116,665.50x = 176,070 × 176,070
  4. Step 4: Simplify right side
    116,665.50x = 31,000,644,900
  5. Step 5: Solve for x
    x = 31,000,644,900/116,665.50
  6. Step 6: Final answer
    x = 265,722.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.