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Finding the Third Proportional to 118,257 and 172,984.50

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Solution

The third proportional to 118,257 and 172,984.50 is: 253,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,257 : 172,984.50 = 172,984.50 : x
  2. Step 2: Convert to fraction form
    118,257/172,984.50 = 172,984.50/x
  3. Step 3: Cross multiply
    118,257x = 172,984.50 × 172,984.50
  4. Step 4: Simplify right side
    118,257x = 29,923,637,240.25
  5. Step 5: Solve for x
    x = 29,923,637,240.25/118,257
  6. Step 6: Final answer
    x = 253,039.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.