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Finding the Third Proportional to 63,617 and 100,719

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Solution

The third proportional to 63,617 and 100,719 is: 159,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,617 : 100,719 = 100,719 : x
  2. Step 2: Convert to fraction form
    63,617/100,719 = 100,719/x
  3. Step 3: Cross multiply
    63,617x = 100,719 × 100,719
  4. Step 4: Simplify right side
    63,617x = 10,144,316,961
  5. Step 5: Solve for x
    x = 10,144,316,961/63,617
  6. Step 6: Final answer
    x = 159,459.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.