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Finding the Third Proportional to 78,472 and 169,995.50

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Solution

The third proportional to 78,472 and 169,995.50 is: 368,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472 : 169,995.50 = 169,995.50 : x
  2. Step 2: Convert to fraction form
    78,472/169,995.50 = 169,995.50/x
  3. Step 3: Cross multiply
    78,472x = 169,995.50 × 169,995.50
  4. Step 4: Simplify right side
    78,472x = 28,898,470,020.25
  5. Step 5: Solve for x
    x = 28,898,470,020.25/78,472
  6. Step 6: Final answer
    x = 368,264.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.