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Finding the Third Proportional to 105,073 and 157,719

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Solution

The third proportional to 105,073 and 157,719 is: 236,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,073 : 157,719 = 157,719 : x
  2. Step 2: Convert to fraction form
    105,073/157,719 = 157,719/x
  3. Step 3: Cross multiply
    105,073x = 157,719 × 157,719
  4. Step 4: Simplify right side
    105,073x = 24,875,282,961
  5. Step 5: Solve for x
    x = 24,875,282,961/105,073
  6. Step 6: Final answer
    x = 236,742.86

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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.