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Finding the Third Proportional to 116,416 and 172,440

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Solution

The third proportional to 116,416 and 172,440 is: 255,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 172,440 = 172,440 : x
  2. Step 2: Convert to fraction form
    116,416/172,440 = 172,440/x
  3. Step 3: Cross multiply
    116,416x = 172,440 × 172,440
  4. Step 4: Simplify right side
    116,416x = 29,735,553,600
  5. Step 5: Solve for x
    x = 29,735,553,600/116,416
  6. Step 6: Final answer
    x = 255,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.