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Finding the Third Proportional to 63,807 and 95,087

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Solution

The third proportional to 63,807 and 95,087 is: 141,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,807 : 95,087 = 95,087 : x
  2. Step 2: Convert to fraction form
    63,807/95,087 = 95,087/x
  3. Step 3: Cross multiply
    63,807x = 95,087 × 95,087
  4. Step 4: Simplify right side
    63,807x = 9,041,537,569
  5. Step 5: Solve for x
    x = 9,041,537,569/63,807
  6. Step 6: Final answer
    x = 141,701.34

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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.