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Finding the Third Proportional to 105,136 and 157,548

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Solution

The third proportional to 105,136 and 157,548 is: 236,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,136 : 157,548 = 157,548 : x
  2. Step 2: Convert to fraction form
    105,136/157,548 = 157,548/x
  3. Step 3: Cross multiply
    105,136x = 157,548 × 157,548
  4. Step 4: Simplify right side
    105,136x = 24,821,372,304
  5. Step 5: Solve for x
    x = 24,821,372,304/105,136
  6. Step 6: Final answer
    x = 236,088.23

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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.