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Finding the Third Proportional to 63,114 and 95,130

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Solution

The third proportional to 63,114 and 95,130 is: 143,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,114 : 95,130 = 95,130 : x
  2. Step 2: Convert to fraction form
    63,114/95,130 = 95,130/x
  3. Step 3: Cross multiply
    63,114x = 95,130 × 95,130
  4. Step 4: Simplify right side
    63,114x = 9,049,716,900
  5. Step 5: Solve for x
    x = 9,049,716,900/63,114
  6. Step 6: Final answer
    x = 143,386.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.