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Finding the Third Proportional to 63,100 and 136,037

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Solution

The third proportional to 63,100 and 136,037 is: 293,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,100 : 136,037 = 136,037 : x
  2. Step 2: Convert to fraction form
    63,100/136,037 = 136,037/x
  3. Step 3: Cross multiply
    63,100x = 136,037 × 136,037
  4. Step 4: Simplify right side
    63,100x = 18,506,065,369
  5. Step 5: Solve for x
    x = 18,506,065,369/63,100
  6. Step 6: Final answer
    x = 293,281.54

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