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Finding the Third Proportional to 62,319 and 96,679.75

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Solution

The third proportional to 62,319 and 96,679.75 is: 149,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,319 : 96,679.75 = 96,679.75 : x
  2. Step 2: Convert to fraction form
    62,319/96,679.75 = 96,679.75/x
  3. Step 3: Cross multiply
    62,319x = 96,679.75 × 96,679.75
  4. Step 4: Simplify right side
    62,319x = 9,346,974,060.06
  5. Step 5: Solve for x
    x = 9,346,974,060.06/62,319
  6. Step 6: Final answer
    x = 149,985.94

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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.