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Finding the Third Proportional to 134,122 and 290,023

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Solution

The third proportional to 134,122 and 290,023 is: 627,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,122 : 290,023 = 290,023 : x
  2. Step 2: Convert to fraction form
    134,122/290,023 = 290,023/x
  3. Step 3: Cross multiply
    134,122x = 290,023 × 290,023
  4. Step 4: Simplify right side
    134,122x = 84,113,340,529
  5. Step 5: Solve for x
    x = 84,113,340,529/134,122
  6. Step 6: Final answer
    x = 627,140.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.