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Finding the Third Proportional to 61,726 and 133,046

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Solution

The third proportional to 61,726 and 133,046 is: 286,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,726 : 133,046 = 133,046 : x
  2. Step 2: Convert to fraction form
    61,726/133,046 = 133,046/x
  3. Step 3: Cross multiply
    61,726x = 133,046 × 133,046
  4. Step 4: Simplify right side
    61,726x = 17,701,238,116
  5. Step 5: Solve for x
    x = 17,701,238,116/61,726
  6. Step 6: Final answer
    x = 286,771.18

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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.