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Finding the Third Proportional to 84,313 and 127,023

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Solution

The third proportional to 84,313 and 127,023 is: 191,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313 : 127,023 = 127,023 : x
  2. Step 2: Convert to fraction form
    84,313/127,023 = 127,023/x
  3. Step 3: Cross multiply
    84,313x = 127,023 × 127,023
  4. Step 4: Simplify right side
    84,313x = 16,134,842,529
  5. Step 5: Solve for x
    x = 16,134,842,529/84,313
  6. Step 6: Final answer
    x = 191,368.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.