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Finding the Third Proportional to 61,318 and 94,984

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Solution

The third proportional to 61,318 and 94,984 is: 147,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,318 : 94,984 = 94,984 : x
  2. Step 2: Convert to fraction form
    61,318/94,984 = 94,984/x
  3. Step 3: Cross multiply
    61,318x = 94,984 × 94,984
  4. Step 4: Simplify right side
    61,318x = 9,021,960,256
  5. Step 5: Solve for x
    x = 9,021,960,256/61,318
  6. Step 6: Final answer
    x = 147,133.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.