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Finding the Third Proportional to 61,713 and 133,038

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Solution

The third proportional to 61,713 and 133,038 is: 286,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713 : 133,038 = 133,038 : x
  2. Step 2: Convert to fraction form
    61,713/133,038 = 133,038/x
  3. Step 3: Cross multiply
    61,713x = 133,038 × 133,038
  4. Step 4: Simplify right side
    61,713x = 17,699,109,444
  5. Step 5: Solve for x
    x = 17,699,109,444/61,713
  6. Step 6: Final answer
    x = 286,797.10

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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.