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Finding the Third Proportional to 105,223 and 157,389

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Solution

The third proportional to 105,223 and 157,389 is: 235,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223 : 157,389 = 157,389 : x
  2. Step 2: Convert to fraction form
    105,223/157,389 = 157,389/x
  3. Step 3: Cross multiply
    105,223x = 157,389 × 157,389
  4. Step 4: Simplify right side
    105,223x = 24,771,297,321
  5. Step 5: Solve for x
    x = 24,771,297,321/105,223
  6. Step 6: Final answer
    x = 235,417.14

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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.