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Finding the Third Proportional to 42,922 and 88,813

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Solution

The third proportional to 42,922 and 88,813 is: 183,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,922 : 88,813 = 88,813 : x
  2. Step 2: Convert to fraction form
    42,922/88,813 = 88,813/x
  3. Step 3: Cross multiply
    42,922x = 88,813 × 88,813
  4. Step 4: Simplify right side
    42,922x = 7,887,748,969
  5. Step 5: Solve for x
    x = 7,887,748,969/42,922
  6. Step 6: Final answer
    x = 183,769.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.