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Finding the Third Proportional to 61,749 and 133,023

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Solution

The third proportional to 61,749 and 133,023 is: 286,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,749 : 133,023 = 133,023 : x
  2. Step 2: Convert to fraction form
    61,749/133,023 = 133,023/x
  3. Step 3: Cross multiply
    61,749x = 133,023 × 133,023
  4. Step 4: Simplify right side
    61,749x = 17,695,118,529
  5. Step 5: Solve for x
    x = 17,695,118,529/61,749
  6. Step 6: Final answer
    x = 286,565.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.