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Finding the Third Proportional to 102,057.47 and 160,911.56

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Solution

The third proportional to 102,057.47 and 160,911.56 is: 253,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,057.47 : 160,911.56 = 160,911.56 : x
  2. Step 2: Convert to fraction form
    102,057.47/160,911.56 = 160,911.56/x
  3. Step 3: Cross multiply
    102,057.47x = 160,911.56 × 160,911.56
  4. Step 4: Simplify right side
    102,057.47x = 25,892,530,946.19
  5. Step 5: Solve for x
    x = 25,892,530,946.19/102,057.47
  6. Step 6: Final answer
    x = 253,705.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.