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Finding the Third Proportional to 116,861 and 183,122

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Solution

The third proportional to 116,861 and 183,122 is: 286,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,861 : 183,122 = 183,122 : x
  2. Step 2: Convert to fraction form
    116,861/183,122 = 183,122/x
  3. Step 3: Cross multiply
    116,861x = 183,122 × 183,122
  4. Step 4: Simplify right side
    116,861x = 33,533,666,884
  5. Step 5: Solve for x
    x = 33,533,666,884/116,861
  6. Step 6: Final answer
    x = 286,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.