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Finding the Third Proportional to 66,963 and 101,309

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Solution

The third proportional to 66,963 and 101,309 is: 153,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,963 : 101,309 = 101,309 : x
  2. Step 2: Convert to fraction form
    66,963/101,309 = 101,309/x
  3. Step 3: Cross multiply
    66,963x = 101,309 × 101,309
  4. Step 4: Simplify right side
    66,963x = 10,263,513,481
  5. Step 5: Solve for x
    x = 10,263,513,481/66,963
  6. Step 6: Final answer
    x = 153,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.