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Finding the Third Proportional to 63,114 and 136,065

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Solution

The third proportional to 63,114 and 136,065 is: 293,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,114 : 136,065 = 136,065 : x
  2. Step 2: Convert to fraction form
    63,114/136,065 = 136,065/x
  3. Step 3: Cross multiply
    63,114x = 136,065 × 136,065
  4. Step 4: Simplify right side
    63,114x = 18,513,684,225
  5. Step 5: Solve for x
    x = 18,513,684,225/63,114
  6. Step 6: Final answer
    x = 293,337.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.