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Finding the Third Proportional to 66,945 and 146,827.50

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Solution

The third proportional to 66,945 and 146,827.50 is: 322,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945 : 146,827.50 = 146,827.50 : x
  2. Step 2: Convert to fraction form
    66,945/146,827.50 = 146,827.50/x
  3. Step 3: Cross multiply
    66,945x = 146,827.50 × 146,827.50
  4. Step 4: Simplify right side
    66,945x = 21,558,314,756.25
  5. Step 5: Solve for x
    x = 21,558,314,756.25/66,945
  6. Step 6: Final answer
    x = 322,030.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.