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Finding the Third Proportional to 66,567 and 144,798

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Solution

The third proportional to 66,567 and 144,798 is: 314,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,567 : 144,798 = 144,798 : x
  2. Step 2: Convert to fraction form
    66,567/144,798 = 144,798/x
  3. Step 3: Cross multiply
    66,567x = 144,798 × 144,798
  4. Step 4: Simplify right side
    66,567x = 20,966,460,804
  5. Step 5: Solve for x
    x = 20,966,460,804/66,567
  6. Step 6: Final answer
    x = 314,967.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.