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Finding the Third Proportional to 66,744 and 93,312

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Solution

The third proportional to 66,744 and 93,312 is: 130,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,744 : 93,312 = 93,312 : x
  2. Step 2: Convert to fraction form
    66,744/93,312 = 93,312/x
  3. Step 3: Cross multiply
    66,744x = 93,312 × 93,312
  4. Step 4: Simplify right side
    66,744x = 8,707,129,344
  5. Step 5: Solve for x
    x = 8,707,129,344/66,744
  6. Step 6: Final answer
    x = 130,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.