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Finding the Third Proportional to 98,312.25 and 148,273.88

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Solution

The third proportional to 98,312.25 and 148,273.88 is: 223,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,312.25 : 148,273.88 = 148,273.88 : x
  2. Step 2: Convert to fraction form
    98,312.25/148,273.88 = 148,273.88/x
  3. Step 3: Cross multiply
    98,312.25x = 148,273.88 × 148,273.88
  4. Step 4: Simplify right side
    98,312.25x = 21,985,142,007.52
  5. Step 5: Solve for x
    x = 21,985,142,007.52/98,312.25
  6. Step 6: Final answer
    x = 223,625.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.