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Finding the Third Proportional to 66,356 and 100,588

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Solution

The third proportional to 66,356 and 100,588 is: 152,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,356 : 100,588 = 100,588 : x
  2. Step 2: Convert to fraction form
    66,356/100,588 = 100,588/x
  3. Step 3: Cross multiply
    66,356x = 100,588 × 100,588
  4. Step 4: Simplify right side
    66,356x = 10,117,945,744
  5. Step 5: Solve for x
    x = 10,117,945,744/66,356
  6. Step 6: Final answer
    x = 152,479.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.