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Finding the Third Proportional to 63,838 and 97,453

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Solution

The third proportional to 63,838 and 97,453 is: 148,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,838 : 97,453 = 97,453 : x
  2. Step 2: Convert to fraction form
    63,838/97,453 = 97,453/x
  3. Step 3: Cross multiply
    63,838x = 97,453 × 97,453
  4. Step 4: Simplify right side
    63,838x = 9,497,087,209
  5. Step 5: Solve for x
    x = 9,497,087,209/63,838
  6. Step 6: Final answer
    x = 148,768.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.