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Finding the Third Proportional to 63,745 and 98,360

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Solution

The third proportional to 63,745 and 98,360 is: 151,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,745 : 98,360 = 98,360 : x
  2. Step 2: Convert to fraction form
    63,745/98,360 = 98,360/x
  3. Step 3: Cross multiply
    63,745x = 98,360 × 98,360
  4. Step 4: Simplify right side
    63,745x = 9,674,689,600
  5. Step 5: Solve for x
    x = 9,674,689,600/63,745
  6. Step 6: Final answer
    x = 151,771.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.