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Finding the Third Proportional to 96,984 and 149,580

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Solution

The third proportional to 96,984 and 149,580 is: 230,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 149,580 = 149,580 : x
  2. Step 2: Convert to fraction form
    96,984/149,580 = 149,580/x
  3. Step 3: Cross multiply
    96,984x = 149,580 × 149,580
  4. Step 4: Simplify right side
    96,984x = 22,374,176,400
  5. Step 5: Solve for x
    x = 22,374,176,400/96,984
  6. Step 6: Final answer
    x = 230,699.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.