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Finding the Third Proportional to 66,694 and 103,237

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Solution

The third proportional to 66,694 and 103,237 is: 159,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,694 : 103,237 = 103,237 : x
  2. Step 2: Convert to fraction form
    66,694/103,237 = 103,237/x
  3. Step 3: Cross multiply
    66,694x = 103,237 × 103,237
  4. Step 4: Simplify right side
    66,694x = 10,657,878,169
  5. Step 5: Solve for x
    x = 10,657,878,169/66,694
  6. Step 6: Final answer
    x = 159,802.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.