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Finding the Third Proportional to 56,971 and 124,685

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Solution

The third proportional to 56,971 and 124,685 is: 272,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971 : 124,685 = 124,685 : x
  2. Step 2: Convert to fraction form
    56,971/124,685 = 124,685/x
  3. Step 3: Cross multiply
    56,971x = 124,685 × 124,685
  4. Step 4: Simplify right side
    56,971x = 15,546,349,225
  5. Step 5: Solve for x
    x = 15,546,349,225/56,971
  6. Step 6: Final answer
    x = 272,881.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.