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Finding the Third Proportional to 64,619 and 96,541

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Solution

The third proportional to 64,619 and 96,541 is: 144,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,619 : 96,541 = 96,541 : x
  2. Step 2: Convert to fraction form
    64,619/96,541 = 96,541/x
  3. Step 3: Cross multiply
    64,619x = 96,541 × 96,541
  4. Step 4: Simplify right side
    64,619x = 9,320,164,681
  5. Step 5: Solve for x
    x = 9,320,164,681/64,619
  6. Step 6: Final answer
    x = 144,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.