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Finding the Third Proportional to 63,006 and 97,486.50

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Solution

The third proportional to 63,006 and 97,486.50 is: 150,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,006 : 97,486.50 = 97,486.50 : x
  2. Step 2: Convert to fraction form
    63,006/97,486.50 = 97,486.50/x
  3. Step 3: Cross multiply
    63,006x = 97,486.50 × 97,486.50
  4. Step 4: Simplify right side
    63,006x = 9,503,617,682.25
  5. Step 5: Solve for x
    x = 9,503,617,682.25/63,006
  6. Step 6: Final answer
    x = 150,836.71

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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.