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Finding the Third Proportional to 82,588 and 121,938

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Solution

The third proportional to 82,588 and 121,938 is: 180,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588 : 121,938 = 121,938 : x
  2. Step 2: Convert to fraction form
    82,588/121,938 = 121,938/x
  3. Step 3: Cross multiply
    82,588x = 121,938 × 121,938
  4. Step 4: Simplify right side
    82,588x = 14,868,875,844
  5. Step 5: Solve for x
    x = 14,868,875,844/82,588
  6. Step 6: Final answer
    x = 180,036.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.