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Finding the Third Proportional to 61,465 and 125,186

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Solution

The third proportional to 61,465 and 125,186 is: 254,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465 : 125,186 = 125,186 : x
  2. Step 2: Convert to fraction form
    61,465/125,186 = 125,186/x
  3. Step 3: Cross multiply
    61,465x = 125,186 × 125,186
  4. Step 4: Simplify right side
    61,465x = 15,671,534,596
  5. Step 5: Solve for x
    x = 15,671,534,596/61,465
  6. Step 6: Final answer
    x = 254,966.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.