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Finding the Third Proportional to 66,125 and 96,356.50

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Solution

The third proportional to 66,125 and 96,356.50 is: 140,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,125 : 96,356.50 = 96,356.50 : x
  2. Step 2: Convert to fraction form
    66,125/96,356.50 = 96,356.50/x
  3. Step 3: Cross multiply
    66,125x = 96,356.50 × 96,356.50
  4. Step 4: Simplify right side
    66,125x = 9,284,575,092.25
  5. Step 5: Solve for x
    x = 9,284,575,092.25/66,125
  6. Step 6: Final answer
    x = 140,409.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.