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Finding the Third Proportional to 114,136 and 171,550

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Solution

The third proportional to 114,136 and 171,550 is: 257,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,136 : 171,550 = 171,550 : x
  2. Step 2: Convert to fraction form
    114,136/171,550 = 171,550/x
  3. Step 3: Cross multiply
    114,136x = 171,550 × 171,550
  4. Step 4: Simplify right side
    114,136x = 29,429,402,500
  5. Step 5: Solve for x
    x = 29,429,402,500/114,136
  6. Step 6: Final answer
    x = 257,845.05

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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.