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Finding the Third Proportional to 72,900 and 159,516

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Solution

The third proportional to 72,900 and 159,516 is: 349,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,900 : 159,516 = 159,516 : x
  2. Step 2: Convert to fraction form
    72,900/159,516 = 159,516/x
  3. Step 3: Cross multiply
    72,900x = 159,516 × 159,516
  4. Step 4: Simplify right side
    72,900x = 25,445,354,256
  5. Step 5: Solve for x
    x = 25,445,354,256/72,900
  6. Step 6: Final answer
    x = 349,044.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.