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Finding the Third Proportional to 117,712 and 151,136

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Solution

The third proportional to 117,712 and 151,136 is: 194,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,712 : 151,136 = 151,136 : x
  2. Step 2: Convert to fraction form
    117,712/151,136 = 151,136/x
  3. Step 3: Cross multiply
    117,712x = 151,136 × 151,136
  4. Step 4: Simplify right side
    117,712x = 22,842,090,496
  5. Step 5: Solve for x
    x = 22,842,090,496/117,712
  6. Step 6: Final answer
    x = 194,050.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.