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Finding the Third Proportional to 98,731.50 and 148,971

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Solution

The third proportional to 98,731.50 and 148,971 is: 224,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.50 : 148,971 = 148,971 : x
  2. Step 2: Convert to fraction form
    98,731.50/148,971 = 148,971/x
  3. Step 3: Cross multiply
    98,731.50x = 148,971 × 148,971
  4. Step 4: Simplify right side
    98,731.50x = 22,192,358,841
  5. Step 5: Solve for x
    x = 22,192,358,841/98,731.50
  6. Step 6: Final answer
    x = 224,774.86

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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.