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Finding the Third Proportional to 63,263 and 94,719

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Solution

The third proportional to 63,263 and 94,719 is: 141,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,263 : 94,719 = 94,719 : x
  2. Step 2: Convert to fraction form
    63,263/94,719 = 94,719/x
  3. Step 3: Cross multiply
    63,263x = 94,719 × 94,719
  4. Step 4: Simplify right side
    63,263x = 8,971,688,961
  5. Step 5: Solve for x
    x = 8,971,688,961/63,263
  6. Step 6: Final answer
    x = 141,815.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.