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Finding the Third Proportional to 77,500.13 and 162,010.13

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Solution

The third proportional to 77,500.13 and 162,010.13 is: 338,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500.13 : 162,010.13 = 162,010.13 : x
  2. Step 2: Convert to fraction form
    77,500.13/162,010.13 = 162,010.13/x
  3. Step 3: Cross multiply
    77,500.13x = 162,010.13 × 162,010.13
  4. Step 4: Simplify right side
    77,500.13x = 26,247,280,602.52
  5. Step 5: Solve for x
    x = 26,247,280,602.52/77,500.13
  6. Step 6: Final answer
    x = 338,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.